IXL - Volume of complex prisms (Geometry practice)

or

What is the volume of this prism?

cubic inches

ref_doc_title.

or

Learn with an example

question

What is the volume of this prism?

cubic centimeters

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 9 centimeters long and 16 centimeters long and has a height of 24

centimeters.

Area

=

1

2

(

base₁

+

base₂

)

height

=

1

2

(

9

+

16

)

24

=

300

The area of the base of the prism is 300 square

centimeters.

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

The height of the prism is 12

centimeters.

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

Volume

=

300

12

=

3,600

The volume of the prism is 3,600 cubic

centimeters.

Looking for more? Try these:

Lesson: Volume of prisms

or

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Teacher tools

Work it out

Not feeling ready yet? These can help:

U.7Volume of prisms and cylinders

S.3Area of parallelograms and triangles

S.4Area of trapezoids

S.10Area of compound figures

S.11Area between two shapes

Lesson: Volume of prisms