Question

Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.

Answer 1

The volume of a square pyramid is the length of the base squared times the height over three: (L^2*H/3)
So, when you plug in the numbers you get the length of the base square as 4 cm.

Answer 2

Length of the base of a square pyramid is 4 inches

Explanation:

the volume is 48 cubic inches and has a height of 9 inches.

Volume of the square pyramid formula is
`(a^2h)/(3)`

Where 'a' is the length of the base of a square and h is the height of the pyramid

volume = 48 and height =9, plug in the values in the formula

Volume of the square pyramid=
`(a^2h)/(3)`

`48=(a^2 \cdot 9)/(3)`

`48=3a^2`

Divide both sides by 3

`16=a^2`

Now take square root on both sides

`a=4`

Length of the base of a square pyramid is 4 inches