Question

@dan815
Could you check my answer?

Answer 1

The volume of a cube is 42 cubic feet. What is the volume of a pyramid that fits exactly inside the cube?

Answer 2

What is it

Answer 3

In order to figure out the volume of the pyramid that fits exactly inside the cube, we must first examine the formula's for both the cube and the pyramid.

Volume of a Cube: V = (b) (h)
Volume of a pyramid: V = 1/3 (b) (h)

As you can see, the volume of the pyramid is 1/3 the volume of the cube, again, like the cylinder and the cone, the volume of the pyramid is 1/3 the volume of the cube, so in order to find the volume we must divide the volume of the cube by three, lets do that.

42 / 3 = 14

As you can see, 42 / 3 equals 14, which means that the volume of the pyramid is also 14.

Answer 4

You are correct.

Answer 5

Thanks again!

Answer 6

The volume of a cube is actually a^2, but it's the same as (b) (h)

Answer 7

We just have to multiply 1/3 or divide by the reciprocal 3.