Areas of 2-D Shapes Notes

Area: _________________________________________________________________

The units for area are always ______________________________________________

Examples:

Determine the area of the following shapes

1.

2.

3.

4 cm

7 cm

8 m

10 mm

2 mm

3 mm

7 mm

4.

5.

6. 10 cm

7 m

12 m

8 m

5 cm

10 cm

5 cm

2 cm

32 m

21 m

Area of 2-D Shapes Worksheet

Find the area. Round to nearest tenth if necessary.

1. 2. 3.

4. 5. 6.

7. 8.

8 cm

10 cm

4 km

12 km

9 km

11 cm

5 m

4 m

2 m3 m

15 mm

15 m16 m

6 mm9 m

11 m

4 m

10 m

9. 10.

11. You hire someone to tile your bathroom floor. The floor is 4 m long by 3 m wide. The person you hire to tile your floor charges $46 per square metre. How much would it cost you to tile your bathroom floor?

95 m

72 m

3 dm5 dm8 dm

6.5 dm

11 dm

Surface Area Basics

Surface Area: __________________________________________________________

The units for area are always ______________________________________________

Investigation 1:

Each student is to use 5 linking cubes. Assume that each face is 1 unit2. Answer the questions below by building the “train” and filling in the table.

1. What is the surface area of 1 cube?2. Put 2 cubes together and make a “train”. What

is the surface area of the train?3. Place another cube at one end of your “train”.

Determine the surface area.4. Repeat until you have completed the table.5. What pattern did you notice? Explain why this

pattern occurred.

6. With the 5 cubes, build an object that is different from the train. Determine its surface area. What do you notice?

Investigation 2:

With a partner, build a shape using 10 blocks.

Determine the surface area if the surface area of each face is 1 unit2.

Determine the surface area of your object if each face had a surface area of 2 units2.

# of Cubes Surface Area (Square Units)

1

2

3

4

5

Drawing Faces to Determine Surface Area:

Build the following object using 4 blocks

Draw each face on the dot graph paper. Draw the Top, the Front View, the Left View, the Right View, The Bottom, and the Back. Assume each face is 1 unit2.

Using the drawings, determine the surface area of the object.

Assume that each face is 4 units2, what is the surface area of the object?

Example:

An office building that measures25 m by 10 m by 3 m highhas an upstairs unit that measures 4 m by 2 m by 2 m. There is one door thatmeasures 1.5 m by 2.5 m and two windowsthat measure 1 m by 0.5 m.

a) What is the total surface area of the building?

b) What is the total surface area of the doors and windows?

c) The manager wants to paint the outside of the building, but not the doors or windows. What is the total surface area that needs to be painted?

d) If one can of paint covers 100 m2, how many cans of paint is needed to complete the job?

e) The cost of a can of paint is $3.49. How much will it cost to complete the project?

Surface Area Worksheet

1. Each cube has edge length 1 unit.Determine the surface area of each object.

a) b)

c) d)

2. Determine the surface area of this composite object.

3. The local curling rink is shownin the diagram at the right. It is to be painted.

a) Determine the surface area of the structure.

b) The roof, windows, and door are not to be painted. The door is 1 m by 2 m and the window is 4 m by 2 m. Determine the surface area to be painted.

c) A can of paint covers 300 m2 and costs $45. Determine the cost of the paint needed.

Surface Area of 3-D Shapes & Other Composite Objects Notes

Discover the formula for the surface area of each of the nets. Fill in the rest of the formula sheet.

Examples:

Determine the surface area of each of the following objects to the nearest whole number.

1.

2.

12 mm

5 mm

6 mm

2 cm

5 cm

3.

5 cm

5 cm

8 cm

6 cm

10 cm

4 cm

Surface Area of 3-D Shapes & Other Composite Solids Worksheet

Find the surface area of the figures below. Round the final answer to the nearest tenth if necessary.

1. 2.

3. 4.

5 m

5 m

5 m

18 cm

4 cm 11 cm

12 mm27 mm

9 mm

32 mm

12 mm

20 mm

48 mm

15 mm10.8 mm

5.

6.

7.

22 m

15 m

8.

9.

10. Jeanne is helping her dad with his stucco business for the summer. Since Jeanne has studied surface area in school, she does some estimates for her dad’s business. For the garage at the right, they plan to stucco the walls. They will not stucco the roof, car door, side door, or window. The car door measures 5 m by 2.3 m, the side door measures 2.1 m by 0.9 m, and the window measures 1 m by 0.7 m. The front triangular face (roof) has a height of 1.9 m. Determine the surface area to be covered with stucco to the nearest square metre.