Volume for 3 Dimensional Figures

Volume Definition

The measure of space occupied by a 3 dimensional figure.

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Cones

Pyramids

Cylinders

Prisms

Types of 3 Dim

ensional Figures

Prisms

A prism is a 3 dimensional figure with at least 3 rectangular faces and top and bottom face are parallel.• Rectangular prism• Triangular prism

To find the volume of a prism, determine the shape of the base and1.Calculate area of base2.Then multiply by the height

Let’ s Practice

Example #1

4 in 5 in

11 inFind the volume of the prism above.

Solution

1. Determine the type of base the prism has. This determines the name of the prism.

2. Calculate the area of the base

A = lwA = 11(5)A = 55 in2

3. Take the area of the base and multiply it by the

height.V = 55(h)V = 55(4)

V = 220 in3

Let’ s Practice

Example #2

Find the volume of the prism.

Solution

1. Determine the type of base the prism has. This determines the name of the prism.

2. Calculate the area of the base

A = ½ bhA = ½ (4)(4)

A = 8 in2

3. Take the area of the base and multiply it by the

height.V = 8(h)V = 8(6)

V = 48 in3

PRACTICE!!!Tear out page 119 from

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