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. 4 inches 8 inches 16 inches 24 inches

Answer 1

The answer is 4 inches.

Answer 2

4 inches

Explanation:

In order to calculate the length of the base of a square pyramid you just have to work the formula backwards, you have the value for the height and the volume, the formula for the square pyramid is the next one:

`V=(Ab*H)/(3)`

And we just insert the values we know into the formula:

`48=(Ab*9)/(3)`

Now we clear the Ab from the formula:

`(48)(3)=Ab*9`

`((48)(3))/(9) =Ab`

`Ab=((144))/(9)`

`Ab=16`

We know that the area of the base is equal to 16, and as we know the formula for the area of a square is:

`Area=Side^(2)`

So if the area is 16 we just calculate the square root and the length of the side is 4.