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

The figures below are similar.

3 m

9 m

S1 = 9 m2

S2 = ?

What is the surface area of the larger triangular prism?

S2 = square meters

ref_doc_title.

Learn with an example

question

The figures below are similar.

2 ft

5 ft

V1 = 512 ft3

V2 = ?

What is the volume of the larger rectangular prism?

V2 = cubic feet

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:

125

Find the ratio of the volumes:

512

Use these two ratios to set up a proportion and solve for V2.

125

512

125

(

125

)

512

(

125

)

Multiply both sides by 125V2

512

125

Simplify

64,000

Simplify

64,000

Divide both sides by 8

8,000

The volume of the larger rectangular prism is 8,000 cubic feet.

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

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? This can help:

U.4Surface area of prisms and cylinders

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!