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Confidential 2
Warm Up
Find the Surface area of each rectangular Prism to the nearest tenth
5.5cm
2.3cm10cm
1. 2. 7.8 in.
6.2 in.5.4 in.
Confidential 3
Warm Up
Find the surface area of Cylinders:
4. r = 6mm, h = 10 mm
5. r = 3.5 ft, h = 24 ft
3. Write the formula for the surface area of a Cube in which each edge measures x units.
Confidential 4
Surface Area of a PrismThe surface area of a prism is the sum of the areas ofall the sides of the prism. The formula for the surfacearea of a prism therefore depends on the type of prism.
Surface Area of a CylinderThe surface area of a cylinder is the sum of the areasof the two bases and the lateral face of the cylinder.
surface area of a cylinder = 2*r2 + 2rh
Lets review what we have learned in the last lesson
Confidential 5
Types of prism
The name of a prism depends upon its base polygons.
If the bases are triangles, then it is a TRIANGULAR prism.
A RECTANGULAR prism has bases which are rectangles . The other types of prisms are pentagonal prism, hexagonal
prism and octagonal prism.
Surface Area of prism:
Surface Area of any prism = Lateral area + Area of two ends
Confidential 6
What is volume?
The amount of space occupied by an object is called its volume.
Cubic units are used to measure the volume. For example m3, cm3, in3, ft3 etc.
Confidential 7
Volume of Rectangular Prism
Prism is a 3D figure. The volume of a rectangular prism is given
by the formula: Volume = l × b × h Where l is the length of the rectangular prism. b is the width of the rectangular prism. h is the height of the rectangular prism.
Confidential 8
Practice
Example 1: Find the volume of the rectangular prism whose length is 12 cm, width 6 cm and height 8cm.
Solution: Volume = l × b × h Volume = 12 × 6 × 8 Volume = 576 cm3
The volume of the rectangular prism is 576 cm3.
Volume = l x b x h
Confidential 9
Practice
Example 2: Find the volume of the rectangular prism whose length is 6 in, width 6 in and height 4 in.
Solution: Volume = l × b × h Volume = 6 × 6 × 4 Volume = 144 in3
The volume of the rectangular prism is 144 in3.
Volume = l x b x h
Confidential 10
Volume of Cylinder
Cylinder is a 3D figure. The volume of a cylinder is given by the
formula: Volume = r2h Where r is the radius of the base of the
cylinder. h is the height of the rectangular prism. and pi = 3.14.
Confidential 11
Practice
Example 3: Find the volume of the cylinder whose radius is 10 cm and height 6cm.
Solution: Volume = r2h Volume = 3.14 × 102 × 6 Volume = 1884 cm3
The volume of the cylinder is 1884 cm3.
Volume = r2h
Confidential 12
Practice
Example 4: Find the volume of the cylinder whose diameter is 22 cm and height 14 cm.
Solution: Radius r = Diameter/2 = 22/2 = 11 cm Volume = r2h Volume = 3.14 × 112 × 14 Volume = 5319.6 cm3
The volume of the cylinder is 5319.6 cm3.
Volume = r2h
Confidential 15
Your Turn
Find the volume of the rectangular prism whose:
1. l=5 cm, b = 3 cm, h = 4 cm2. l=4 in, b = 3 in, h = 5 in 3. l=12 cm, b = 2 cm, h = 7cm 4. l=10 m, b = 5 m, h = 5 m 5. l=5 km, b = 5 km, h = 11km
Confidential 16
Your Turn
Find the volume of the cylinder whose:
6. r = 5 cm, h = 4 cm7. r = 10 in, h = 2 in 8. r = 1 km, h = 5 km9. r = 1 m, h = 1 m10. r = 2 cm, h = 2 cm
Confidential 17
Q1: Find the length of the rectangular prism whose area is 980 cm3, width is 10cm and height is 7 cm.
Confidential 19
Q3: A match box measures 4cm by 2 cm by 2 cm. What will be the volume of the a packet containing a maximum of 12 such boxes?
Confidential 20
Let Us Review
The amount of space occupied by an object is called its volume.
The volume of a rectangular prism is given by the formula:
Volume = length × width × height
The volume of a cylinder is given by the formula:
Volume = π(radius)2x height