Question

A pyramid with a square base has a volume of 120 cubic meters and a height of 10 meters. what is a side length of the base?

Answer 1

Volume of Square Based Pyramid = (1/3)*(Side Length of Base)^2 *(height)

the given information are:
Volume = 120
height = 10

plug this in and get:
120 = (1/3)*(side)^2 *(10)
12 = (1/3)*(side)^2    [divided both sides by 10]
36 = (side)^2           [multiplied both sides by 3]
(side) = 6             [square rooted both sides]

Therefore the Side Length of the Base is 6 meters.