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k0ka [10]
3 years ago
9

The volume of a cube is 3375 cubic inches. what is the measure of each side of the cube

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:

The measure of each side of the cube is

<h2>15 inches</h2>

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

<h3>{l}^{3}  = 3375</h3>

Find the cube root of both sides

That's

<h3>\sqrt[3]{ {l}^{3} }  =  \sqrt[3]{3375}</h3>

We have the final answer as

<h3>l = 15 inches</h3>

Hope this helps you

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