Question

Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches

Answer 1

Answer: a = 8

Explanation:

Volume of a square based pyramid is given as

`(a^(2)h )/(3)` .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V =
`(a^(2)h )/(3)`

128 =
`a^(2)h` /3

384=
`a^(2)` X 6

Divide through by 6

384/6 =
`a^(2)`

64 =
`a^(2)`

Therefore :

a =
`\sqrt{(64)/(1) }`

a = 8