IXL - Surface area and volume of similar solids (Geometry practice)

The figures below are similar.

5 ft

3 ft

What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder?

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

ref_doc_title.

Learn with an example

question

The figures below are similar.

6 in

3 in

What is the ratio of the surface area of the larger triangular pyramid to the surface area of the smaller triangular 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
S1
S2
is
the
ratio
of
the
surface
areas.

solution

Find the square of the ratio of the corresponding dimensions:

Find the ratio of the surface areas:

Use these two ratios to set up a proportion.

Write the fraction as a ratio.

→

4:1

The ratio of the larger triangular pyramid's surface area to the smaller triangular pyramid's surface area is 4:1.

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

S.12Area and perimeter of similar figures

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!