Middle School

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------------------------------------------------ The room will be a cube with a volume of 4,913 cubic feet. What is the length of the new room?

Answer :

Length of the new room is 17 feet

Given that;

Volume of cubic room = 4,913 cubic feet

Find:

Length of the new room

Computation:

Volume of cube = Side³

So,

Volume of cubic room = (Length of the new room)³

4,913 = (Length of the new room)³

(Length of the new room)³ = 17³

Length of the new room = 17 feet

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Volume is equal to length×width×height and in a cube those three values are equal to each other. that means if you call the value of length to be equal to x meters, the values for height and width would also be equal to x.
therefore x³=Volume in the case of a cube.
x³=4913 cubic meters
x=17 meters

I hope this helps. Let me know if anything is unclear.

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