Question

The area of the base of the cube, B, is square units. The volume of the cube is ___ square units

Answer 1

1.(b)(b)

2.(b)(b)(b)

3.b/2

4.6

5.(1/6)(b)(b)(2h)

Explanation:

Answer 2

Check attached picture.

Explanation:

Given that side length of the cube = b

We know that base of cube is a square.

So area of base = (length)(with)=(b)*(b)

or

`B=b^2`

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Volume of cube = (Lenght)(width)(hight)=(b)(b)(b)

or
`V=b^3`

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Given b=2h

divide both sides by 2

then
`(b)/(2)=h`

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From picture we can see that there are "6" square pyramids with the same base and height that exactly fill the given cube.

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So area of 1 pyramid can be found by dividing total volume of the cube by 6

so we get volume of 1 pyramid
`= (b^3)/(6)`