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A cube has a surface area of 96 square inches. What is the volume of the cube

Sagot :

FrankTodd
The formula for the surface area of a cube is: SA= 6((length of side)^2).
So if the surface area is 96, first divide by 6. And you get 16. Next you find the square-root of 16 and get 4. So the length of each side is 4 inches.
The formula for volume of a cube is V=(length of side)^3.
So 4 raised to the third power is: 4*4*4.
The volume of the cube is 64 inches cubed.

The volume of a cube is 64 cubic inches.

What is cube?

"A cube is a three-dimensional object that has 6 congruent square faces. Dimensions of all the 6 square faces of the cube are the same".

For the given situation,

Surface area of the cube = 96 square inches

Formula for surface area of the cube, A = [tex]6s^{2}[/tex]

⇒[tex]6s^{2}=96[/tex]

On dividing by 6 on both sides,

⇒[tex]s^{2}=16[/tex]

⇒[tex]s=\sqrt{16}[/tex]

⇒[tex]s=4[/tex]

The side of the cube = 4 inch

The formula to find the volume of a cube, V = [tex]s^{3}[/tex]

⇒[tex]V=4^{3}[/tex]

⇒[tex]V=64 inch^{3}[/tex]

Hence we can conclude that the volume of a cube is 64 cubic inches.

Learn more about cube here,

https://brainly.com/question/3390425

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