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  • 03-10-2018
  • Mathematics
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If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?

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Space
Space Space
  • 25-10-2020

Answer:

23 in

Step-by-step explanation:

Volume of a Cube: V = a³

Step 1: Define

V = 12,167 in³

a = ?

Step 2: Solve for side length a

  1. Substitute: 12,167 = a³
  2. Cube root both sides: 23 = a
  3. Rewrite: a = 23

Step 3: Check

Plug in a to verify it's a solution.

  1. Substitute: V = (23 in)³
  2. Evaluate: V = 12,167 in³
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