Question

The volume of a square pyramid is 15 cubic centimeters. If the height of the pyramid is 5 cm, what is the length of the base edge?

Answer 1

The length of the base edge is 3 cm

Explanation:

Volume of square pyramid =
`(1)/(3)BH`

Where B = area of square base

H = Height

Let the length of base edge be x

Area of base =
`Side^2 = x^2`

Height of pyramid = 5 cm

So,Volume of square pyramid =
`(1)/(3)BH=(1)/(3) * x^2 * 5`

We are given that The volume of a square pyramid is 15 cubic centimeters.

So,
`(1)/(3) * x^2 * 5=15`

`x^2 = (15 * 3)/(5)`

`x=\sqrt[2]{(15 * 3)/(5)}`

x=3

Hence the length of the base edge is 3 cm