Name: ________________________ Class: ___________________ Date: __________ ID: A

1

Geometry SIA #3

Short Answer

1. Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).

2. If the perimeter of a square is 108 inches, what is its area?

3. The figure is formed from rectangles. Find the total area. The diagram is not to scale.

4. Is TVS scalene, isosceles, or equilateral? The vertices are T(1,1), V(4,0), and S(2,4).

5. A quadrilateral has vertices (2, 2), (2, 2), (1, 2), and (1, 2). What special quadrilateral is formed by

connecting the midpoints of the sides?

6. In the coordinate plane, three vertices of rectangle MNOP are M (0, 0), N(0, c), and P(d, 0). What are the coordinates of point O?

Name: ________________________ ID: A

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Find the length of the missing side. The triangle is not drawn to scale.

7.

8. A triangle has side lengths of 35 in, 34 in, and 49 in. Classify it as acute, obtuse, or right.

9. Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.

10. The area of a square garden is 128 m2. How long is the diagonal?

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

11.

12. A piece of art is in the shape of an equilateral triangle with sides of 13 in. Find the area of the piece of art. Round your answer to the nearest tenth.

13. Find the missing value to the nearest hundredth.

14. Find the missing value to the nearest hundredth.

Name: ________________________ ID: A

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15. Find the missing value to the nearest hundredth.

Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.

16.

Find the value of x. Round to the nearest tenth.

17.

18.

19. Viola drives 4 kilometers up a hill that makes an angle of 8 with the horizontal. To the nearest tenth of a kilometer, what horizontal distance has she covered?

Name: ________________________ ID: A

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Find the value of x. Round to the nearest degree.

20.

21.

Find the value of x to the nearest degree.

22.

23. To approach the runway, a pilot of a small plane must begin a 7 descent starting from a height of 1967 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

24. Given a regular hexagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon.

Name: ________________________ ID: A

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25. The area of a regular hexagon is 45 in.2 Find the length of a side. Round your answer to the nearest tenth.

26. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 4 centimeters, what will be the exact area of each hexagonal shape?

27. Find the area of a regular hexagon with side length of 4 cm. Round your answer to the nearest tenth.

Find the area of the regular polygon. Give the answer to the nearest tenth.

28. pentagon with a side of 9 cm

Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

29.

30. Use Euler’s Formula to find the missing number.Faces: 25Vertices: 20Edges: ?

31. Mario’s company makes unusually shaped imitation gemstones. One gemstone had 16 faces and 9 vertices. How many edges did the gemstone have?

Name: ________________________ ID: A

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Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

32.

33. Find the surface area of the cylinder to the nearest whole number.

34. The radius of the base of a cylinder is 27 cm and its height is 37 cm. Find the surface area of the cylinder in terms of .

Find the surface area of the pyramid shown to the nearest whole number.

35.

Name: ________________________ ID: A

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36. Find the slant height x of the pyramid shown, to the nearest tenth.

37. Find the surface area of the cone in terms of .

38. The lateral area of a cone is 462 cm2 . The radius is 42 cm. Find the slant height to the nearest tenth.

Find the volume of the given prism. Round to the nearest tenth if necessary.

39.

40. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 13 feet by 13 feet by 4 inches for a patio if the concrete costs $41.00 per cubic yard?

Name: ________________________ ID: A

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Find the volume of the cylinder in terms of .

41.

42. Find the volume of the composite space figure to the nearest whole number.

Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

43.

Name: ________________________ ID: A

9

Find the volume of the cone shown as a decimal rounded to the nearest tenth.

44.

45. A balloon has a circumference of 21 in. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

46.

47. The volume of a sphere is 1240 m3. What is the surface area of the sphere to the nearest tenth?

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

48.

49. Find the similarity ratio of a cube with volume 216 ft3 to a cube with volume 1728 ft3 .

50. The surface areas of two similar solids are 328 ft2 and 1044 ft2 . The volume of the larger solid is 1723 ft3 . What is the volume of the smaller solid?

ID: A

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Geometry SIA #3Answer Section

SHORT ANSWER

1. ANS: 34 units

PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and AreaOBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 3 Finding Perimeter in the Coordinate PlaneKEY: perimeter | coordinate plane | Distance Formula DOK: DOK 2

2. ANS:

729 in.2

PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and AreaOBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 4 Finding Area of a RectangleKEY: area | square DOK: DOK 2

3. ANS:

73 ft2

PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and AreaOBJ: 1-8.1 Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5| MA.912.G.6.5 TOP: 1-8 Problem 6 Finding Area of an Irregular ShapeKEY: area | rectangle DOK: DOK 2

4. ANS: isosceles

PTS: 1 DIF: L2 REF: 6-7 Polygons in the Coordinate PlaneOBJ: 6-7.1 Classify polygons in the coordinate plane STA: MA.912.G.1.1| MA.912.G.2.6| MA.912.G.3.1| MA.912.G.3.3| MA.912.G.4.1| MA.912.G.4.8TOP: 6-7 Problem 1 Classifying a Triangle KEY: triangle | distance formula | isosceles | scalene DOK: DOK 2

5. ANS: rectangle

PTS: 1 DIF: L3 REF: 6-7 Polygons in the Coordinate PlaneOBJ: 6-7.1 Classify polygons in the coordinate plane STA: MA.912.G.1.1| MA.912.G.2.6| MA.912.G.3.1| MA.912.G.3.3| MA.912.G.4.1| MA.912.G.4.8TOP: 6-7 Problem 3 Classifying a Quadrilateral KEY: midpoint | kite | rectangleDOK: DOK 2

ID: A

2

6. ANS: (d, c)

PTS: 1 DIF: L2 REF: 6-8 Applying Coordinate GeometryOBJ: 6-8.1 Name coordinates of special figures by using their propertiesSTA: MA.912.G.1.1| MA.912.G.2.6| MA.912.G.3.3| MA.912.G.3.4| MA.912.G.4.8| MA.912.G.8.5TOP: 6-8 Problem 2 Using Variable Coordinates KEY: coordinate plane | algebra | rectangle DOK: DOK 2

7. ANS: 7

PTS: 1 DIF: L3 REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 Use the Pythagorean Theorem and its converse STA: MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3 TOP: 8-1 Problem 2 Finding the Length of a Leg KEY: Pythagorean Theorem | leg | hypotenuse DOK: DOK 1

8. ANS: obtuse

PTS: 1 DIF: L3 REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 Use the Pythagorean Theorem and its converse STA: MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3 TOP: 8-1 Problem 5 Classifying a Triangle KEY: right triangle | obtuse triangle | acute triangle DOK: DOK 1

9. ANS: x = 8.5, y = 6

PTS: 1 DIF: L4 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4 TOP: 8-2 Problem 2 Finding the Length of a Leg KEY: special right triangles | hypotenuse | leg DOK: DOK 1

10. ANS: 16 m

PTS: 1 DIF: L4 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4 TOP: 8-2 Problem 3 Finding DistanceKEY: special right triangles | diagonal DOK: DOK 2

11. ANS:

9 3

PTS: 1 DIF: L2 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4 TOP: 8-2 Problem 4 Using the Length of One Side KEY: special right triangles | leg | hypotenuse DOK: DOK 2

ID: A

3

12. ANS: 73.2 in.2

PTS: 1 DIF: L2 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4 TOP: 8-2 Problem 5 Applying the 30º-60º-90º Triangle Theorem KEY: area of a triangle | word problem | problem solving DOK: DOK 2

13. ANS: 89.27

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 3 Using InversesKEY: angle measure using tangent DOK: DOK 1

14. ANS: 69.51

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 3 Using InversesKEY: angle measure using cosine DOK: DOK 1

15. ANS: 20.35

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 3 Using InversesKEY: angle measure using sine DOK: DOK 1

16. ANS: 3.5

PTS: 1 DIF: L2 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance KEY: side length using tangent | tangent | tangent ratio DOK: DOK 2

17. ANS: 8.1

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance KEY: cosine | side length using sine and cosine | cosine ratio DOK: DOK 2

ID: A

4

18. ANS: 28.3

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance KEY: sine | side length using sine and cosine | sine ratio DOK: DOK 2

19. ANS: 4 km

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance KEY: cosine | word problem | side length using sine and cosine | problem solving | cosine ratioDOK: DOK 2

20. ANS: 44

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 3 Using InversesKEY: inverse of cosine and sine | angle measure using sine and cosine | cosineDOK: DOK 2

21. ANS: 32

PTS: 1 DIF: L3 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 3 Using InversesKEY: inverse of cosine and sine | angle measure using sine and cosine | sineDOK: DOK 2

22. ANS: 68

PTS: 1 DIF: L2 REF: 8-3 Trigonometry OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-3 Problem 3 Using InversesKEY: inverse of tangent | tangent | tangent ratio | angle measure using tangentDOK: DOK 2

ID: A

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23. ANS: 3.1 mi

PTS: 1 DIF: L3 REF: 8-4 Angles of Elevation and DepressionOBJ: 8-4.1 Use angles of elevation and depression to solve problems STA: MA.912.G.5.4| MA.912.T.2.1 TOP: 8-4 Problem 3 Using the Angle of DepressionKEY: side length using sine and cosine | word problem | problem solving | sine | angles of elevation and depression | sine ratio DOK: DOK 2

24. ANS: 60°; 60°

PTS: 1 DIF: L4 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 1 Finding Angle Measures KEY: regular polygon | multi-part question | hexagon | radius DOK: DOK 2

25. ANS: 4.2 in.

PTS: 1 DIF: L4 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 2 Finding the Area of a Regular Polygon KEY: regular polygon | hexagon | area | apothem | radius DOK: DOK 2

26. ANS:

24 3 cm2

PTS: 1 DIF: L3 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 3 Using Special Triangles to Find Area KEY: regular polygon | hexagon | area | apothem | radius | word problem | problem solvingDOK: DOK 2

27. ANS: 41.6 cm2

PTS: 1 DIF: L2 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 3 Using Special Triangles to Find Area KEY: regular polygon | hexagon | area | apothem | radius DOK: DOK 2

ID: A

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28. ANS:

139.4 cm2

PTS: 1 DIF: L3 REF: 10-5 Trigonometry and AreaOBJ: 10-5.1 Find areas of regular polygons and triangles using trigonometrySTA: MA.912.G.2.5| MA.912.T.2.1 TOP: 10-5 Problem 1 Finding AreaKEY: area of a regular polygon | area | regular polygon | tangent | measure of central angle of a regular polygon DOK: DOK 2

29. ANS:

23.2 cm2

PTS: 1 DIF: L2 REF: 10-5 Trigonometry and AreaOBJ: 10-5.1 Find areas of regular polygons and triangles using trigonometrySTA: MA.912.G.2.5| MA.912.T.2.1 TOP: 10-5 Problem 3 Finding AreaKEY: area of a triangle | area | sine DOK: DOK 2

30. ANS: 43

PTS: 1 DIF: L3 REF: 11-1 Space Figures and Cross SectionsOBJ: 11-1.1 Recognize polyhedra and their parts STA: MA.912.G.7.2| MA.912.G.7.3TOP: 11-1 Problem 2 Using Euler's Formula KEY: polyhedron | face | vertices | edge | Euler's Formula DOK: DOK 1

31. ANS: 23 edges

PTS: 1 DIF: L4 REF: 11-1 Space Figures and Cross SectionsOBJ: 11-1.1 Recognize polyhedra and their parts STA: MA.912.G.7.2| MA.912.G.7.3TOP: 11-1 Problem 2 Using Euler's Formula KEY: edge | Euler's Formula | face | polyhedron | problem solving | word problem | verticesDOK: DOK 2

32. ANS:

412 m2 ; 447 m2

PTS: 1 DIF: L4 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a Prism KEY: surface area formulas | lateral area | surface area | prism | surface area of a prismDOK: DOK 2

ID: A

7

33. ANS:

2187 in.2

PTS: 1 DIF: L4 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: surface area of a cylinder | cylinder | surface area formulas | surface areaDOK: DOK 2

34. ANS:

3456 cm2

PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: cylinder | surface area of a cylinder | surface area formulas | surface area | word problemDOK: DOK 2

35. ANS:

63 ft2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 1 Finding the Surface Area of a Pyramid KEY: surface area of a pyramid | surface area | surface area formulas | pyramidDOK: DOK 2

36. ANS: 5.4 mm

PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 2 Finding the Lateral Area of a Pyramid KEY: pyramid | slant height of a pyramid | Pythagorean Theorem DOK: DOK 2

37. ANS:

161 cm2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 3 Finding the Surface Area of a Cone KEY: surface area of a cone | surface area formulas | surface area | cone DOK: DOK 2

ID: A

8

38. ANS: 11 cm

PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 4 Finding the Lateral Area of a Cone KEY: cone | lateral area | slant height of a cone DOK: DOK 2

39. ANS:

1609.9 yd3

PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 2 Finding the Volume of a Triangular PrismKEY: volume of a triangular prism | volume formulas | volume | prism DOK: DOK 2

40. ANS: $85.54

PTS: 1 DIF: L4 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 1 Finding the Volume of a Rectangular Prism KEY: volume of a rectangular prism | prism | problem solving | word problem | volume formulas | volumeDOK: DOK 2

41. ANS:

439.04 m3

PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 3 Finding the Volume of a CylinderKEY: volume of a cylinder | cylinder | volume formulas | volume DOK: DOK 2

42. ANS:

418 mm3

PTS: 1 DIF: L4 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 4 Finding Volume of a Composite FigureKEY: volume of a composite figure | cylinder | volume of a cylinder | composite space figure | volume of a rectangular prism | volume formulas | volume | prism DOK: DOK 2

ID: A

9

43. ANS:

1348.7 cm3

PTS: 1 DIF: L2 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 1 Finding Volume of a Pyramid KEY: volume of a pyramid | pyramid | volume formulas | volume DOK: DOK 2

44. ANS:

2035.8 m3

PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 3 Finding the Volume of a Cone KEY: volume of a cone | volume formulas | volume | cone DOK: DOK 2

45. ANS:

140 in.2

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 2 Finding Surface Area KEY: circumference of a circle | surface area of a sphere | surface area | surface area formulas | sphereDOK: DOK 2

46. ANS:

268 mm3

PTS: 1 DIF: L2 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 3 Finding the Volume of a Sphere KEY: volume of a sphere | sphere | volume formulas | volume DOK: DOK 2

47. ANS:

1197.3 m2

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 4 Using Volume to Find Surface Area KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas | volume DOK: DOK 2

ID: A

10

48. ANS: yes; 1 : 4

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 1 Identifying Similar SolidsKEY: similar solids | similarity ratio | rectangular prism DOK: DOK 2

49. ANS: 1 : 2

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 2 Finding the Scale FactorKEY: similarity ratio | volumes of similar solids DOK: DOK 2

50. ANS:

303 ft3

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 3 Using a Scale FactorKEY: similarity ratio | ratio of surface areas of similar solids | ratio of volumes of similar solidsDOK: DOK 2