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The volume of a regtabgular prism is 300 cubic inches.if the length of the prism is 5 inches,and the width 8 inches what is the height of the rectangular prism ? v=lwh

The volume of a regtabgular prism is 300 cubic inches.if the length of the prism is-example-1

1 Answer

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Answer:

The height of the rectangular prism is 7.5 inches

Explanation:

- The rule of the volume of a rectangular prism is

V = l w h, where V is the volume, l is the length of the base of

the prism, w is the width of the base of the prism, and h is the

height of the prism

- The volume of the prism is 300 inches³

- The length of the base of the prism is 5 inches

- The width of the base of the prism is 8 inches

- We need to find the height of the prism

V = 300 inches³

l = 5 inches

w = 8 inches

∵ V = l w h

- Substitute the values of l, w, V in the rule above

∵ 300 = 5 × 8 × h

∴ 300 = 40 h

- Divide both sides by 40

h = 7.5 inches

* The height of the rectangular prism is 7.5 inches

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