Question

A square pyramid has volume 324 cm^3. If the height of the pyramid is 12 cm, what is the length of each side of the square base?

Answer 1

9cm

Step-by-step explanation

The volume of a square pyramid is calculated using the formula;

`V = (1)/(3) {l}^(2)h`

where h=12cm is the height of the pyramid and l is the length of each side of the square base.

The volume is V=324.

We substitute the values in to the formula and solve for l.

`324 = (1)/(3) {l}^(2) * 12`

`324 = 1 {l}^(2)`

`{l}^(2) = (324)/(4)`

`{l}^(2) = 81`

`l = √(81) = 9`

The length of each side of the square base is 9 cm.