Question

What's the relationship between the volume of the pyramid inscribed in a cube and the volume of the cube?

Answer 1

let
x--------> the side length of the cube

we know that
[volume of a cube]=x³

[volume of a pyramid]=[area of the base]*h/3
area of the base=x²
h=x
[volume of a pyramid]=[x²]*x/3-----> x³/3
so

[volume of a pyramid]=[volume of a cube]/3

the answer is
[volume of a pyramid]=[volume of a cube]/3

Answer 2

Answer:

3 times greater

Step-by-step explanation:

The volume of the cube is 3 times greater than the volume of a pyramid