Question

Given a cube with a volume of 18 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? 3cm3 6cm3 9cm3

Answer 1

The answer is 6cm3
I’m pretty sure.....

Answer 2

Option B. 6 cm³

Explanation:

A cube is given with a volume of 18 cm³

Now we have to calculate the volume of a square pyramid that can fit inside the cube.

Since volume of a cube = (side)³

18 = (side)³ -----------(1)

Now we know volume of pyramid (square) =
`(1)/(3)(a)^(2)h`

Since pyramid is fit inside the cube so height of the pyramid will be equal to its side.

Volume =
`(1)/(3)` (side)³ ------------(2)

Now we put the value of (side)³ = 18

in equation number (2)

volume =
`(1)/(3)` (18)

= 6 cm³

Option B. 6 cm³ is the answer.