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Ms. Lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet. What is the length of the new room?

2 Answers

3 votes

Answer:

The length of the new room will be 17 feet.

Explanation:

Ms. Lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet.

The volume of cube is given as:
a^(3) where a is the edge measurement. Here, volume is given as 4913 cubic feet.

So,


a^(3)=4913


a=\sqrt[3]{4913}

a = 17

Hence, the length of the new room will be 17 feet.

User Ennis
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7.0k points
7 votes

It is given in the question that

Ms. Lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet.

Let the length of the side of the puppy be x ft .

And the formula of volume of cube is


Volume = side^3

Substituting the given values of volume, we will get


4913 = x^3</p><p>\\</p><p>x = (4913)^(1/3) = 17ft

So the length of the sides of the room is 17 ft .

User Axel Podehl
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6.1k points