Question

Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

Answer 1

hope you know that formula for volume of a cube is area of base time height
and volume of a square pyramid is area of base time height divide 3
- so in this your exercise case we know that area of cube is 36 cm^3 what is area of base time height
- so this mean that the volume of a square pyramide what can fit perfectly inside the cube will be equal 36/3 = 12 cm^3

Answer 2

`\text{The volume of square pyramid is}12cm^3`

Explanation:

Given a cube with a volume of 36 cubic centimeter. we have to find the volume of square pyramid that can fit perfectly inside the cube.

As the pyramid base is same as the side of cube

`\text{Volume of cube is }a^3`

`\text{Volume of square pyramid is=}(a^3)/(3)` (∵a=h)

i.e the volume of square pyramid is one-third of the volume of cube.

∴
`\text{Volume of square pyramid is=}(1)/(3)*\text{Volume of square pyramid}`

`=(36)/(3)=12cm^3`

Hence,
`\text{the volume of square pyramid is}12cm^3`