
Find the volume of the other prism.

Answer to Problem 14PPS
101.25yard3
Explanation of Solution
Given:
Two rectangular prisms are similar.The height of the first prism is 6 yards and the height of the other prism is 9 feet.The volume of the first prism is 810 cubic yards.
Formula Used: If the ratio of the sides of two similar
a3:b3
1feet=13yard
Calculation:
Height of the second prism = 9 feet = 93=3yards
Ratio of heights of the prisms is
63=21
= 2:1
So, the ratio of the volumes of the prisms is
23:13=8:1
Let volume of the other prism is V cubic yard
⇒810V=81⇒810=8V...............[multiply each side by V]⇒V=8108.................[divide each side by 8]⇒V=101.25yard3
Chapter 12 Solutions
Glencoe Geometry Student Edition C2014
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