Question

What is the side length of the base of the pyramid?

Answer 1

The formula for the volume of a pyramid is:
V = (l * w * h) / 3

knowing the formula we can replace the letters with the values we know:

v = 162
h = 6
 
since they told us the pyramid is square, we know that both L and W would be the same, so now we CAN SAY L *W = L^2  and solve for that:

162 = (l^2 * 6) / 3

multiply both sides by 3

486 = l^2 * 6

divide both sides by 6:

81 = l^2

l = sqrt(81)

l = 9 feet