IXL | Volume of prisms: advanced | 7th grade math

or

What is the volume of this prism?

cubic feet

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or

Learn with an example

question

What is the volume of this prism?

cubic inches

key idea

A prism has two congruent, parallel faces called bases. The height of a prism is the distance between its bases.

To find the volume of a prism, multiply the area of its base by its height.

Volume

=

area of base

height

solution

To find the volume of the prism, start by identifying the shape of its base and finding the area. The base of this prism is a trapezoid.

First, find the area of the trapezoid. It has bases that are 12 inches long and 24 inches long and has a height of 5

inches.

Area

=

1

2

(

base₁

+

base₂

)

height

=

1

2

(

12

+

24

)

5

=

90

The area of the base of the prism is 90 square

inches.

Next, find the height of the prism. The height of the prism is the distance between its bases.

The height of the prism is 20

inches.

Last, find the volume of the prism. Multiply the area of its base by its height.

Volume

=

90

20

=

1,800

The volume of the prism is 1,800 cubic

inches.

Looking for more? Try these:

Lesson: Volume of prisms

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Work it out

Not feeling ready yet? These can help:

CC.5Volume of cubes and prisms

BB.2Area of rectangles and parallelograms

BB.3Area of triangles and trapezoids

BB.12Area of compound figures with triangles

BB.14Area between two shapes

Lesson: Volume of prisms