IXL - Volume of similar pyramids (Geometry practice)

The figures below are similar.

2 m

6 m

What is the ratio of the volume of the smaller rectangular pyramid to the volume of the larger rectangular pyramid?

Write your answer as the ratio of two whole numbers separated by a colon (for example, 2:3).

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Learn with an example

question

The figures below are similar.

6 mm

4 mm

What is the ratio of the volume of the larger rectangular pyramid to the volume of the smaller rectangular pyramid?

Write your answer as the ratio of two whole numbers separated by a colon (for example, 2:3).

key idea

The following proportion applies to similar solids:

where
a
b
is
the
ratio
of
the
corresponding
dimensions,
and
V1
V2
is
the
ratio
of
the
volumes.

solution

Find the cube of the ratio of the corresponding dimensions:

Find the ratio of the volumes:

Use these two ratios to set up a proportion.

Write the fraction as a ratio.

→

27:8

The ratio of the larger rectangular pyramid's volume to the smaller rectangular pyramid's volume is 27:8.

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Volume of pyramids

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