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What is the side length of a rectangular prism with a volume of 8 ft3?

1 Answer

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Answer:

The side length of the rectangular prism is 2 feet

Explanation:

The volume of the rectangle prism = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

If the 3 dimensions of the rectangular prism are equal, then its

volume = L × L × L =

In the question

∵ The rectangular prism has a volume = 8 ft³

∵ The question asks for its side length

→ That means all dimensions are equal

∴ V = L³

→ Substitute V by 8

∴ 8 = L³

→ Take cube root for both sides

∴ ∛8 = ∛(L³)

∴ 2 = L

∴ L = 2 ft

The side length of the rectangular prism is 2 feet

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