brittanidauley brittanidauley
  • 11-08-2020
  • Mathematics
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the volume of a cube is 3375 cubic inches. what is the measure of each side of the cube

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Stephen46
Stephen46 Stephen46
  • 11-08-2020

Answer:

The measure of each side of the cube is

15 inches

Step-by-step explanation:

Since it's a cube all it's sides are equal

To find the length of each side we use the formula

Volume of a cube = l³

where l is the measure of one side

From the question

Volume = 3375 cubic inches

Substitute this value into the formula and solve for l

That's

[tex] {l}^{3} = 3375[/tex]

Find the cube root of both sides

That's

[tex] \sqrt[3]{ {l}^{3} } = \sqrt[3]{3375} [/tex]

We have the final answer as

l = 15 inches

Hope this helps you

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