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A rectangular prism has a volume 144 centimeters. The base is a square with a length of 4 cm. What is the height of the prism?

A rectangular prism has a volume 144 centimeters. The base is a square with a length of 4 cm. What is the height of the prism?
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4 votes
A rectangular prism has a volume 144 centimeters. The base is a square with a length of 4 cm. What is the height of the prism?

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User MischaNix
by
8.7k points

1 Answer

3 votes
The volume is the product of the height and the area of the base.
V = Bh
The area of the square base is (4 cm)² = 16 cm², so the height can be found from
144 cm³ = (16 cm²)h
h = (144 cm³)/(16 cm² = 9 cm

The height of the prism is 9 cm.
answered
User TomStroemer
by
7.6k points
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