The expression 4·125‾‾‾‾√3gives the perimeter of the base of a cube with a volume of 125 cubic inches. What is the length, in inches, of the perimeter of its base?



Answer :

The length, in inches, of the perimeter of its base is 5in

Volume of a cube

The formula for calculating the volume of a cube is expressed according to the equation;

V = ³

l = ∛V

where

l is the side length of the cube

Given the following parameters

V = 125in³

Substitute

125 = l³

l = ∛125

l = 5in

Hence the length, in inches, of the perimeter of its base is 5in

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