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Katena32 [7]
3 years ago
5

A cube has a side length of x inches. What expression represents the total volume, in cubic inches, of the cube?

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

Volume = x^3 cubic inches

Step-by-step explanation:

A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.

We know,

Volume = area of base * height

THe base is a square and the area is side * side. We know each side is x, so we have:

Area of Square = Area of Base = x * x = x^2

Now, we know height is also same side length, x, thus the volume becomes:

Volume = area of base * height

Volume = x^2*x

We add the exponents when we have same base multiplied, so the expression for volume becomes:

Volume = x^2*x=x^3

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