The square pyramid shown has a volume of 576 cubic centimeters and a height of 27 centimeters. The figure is not drawn to scale.%0D%0A%0D%0AWhat is the value of s, the edge length of the base of the pyramid in centimeters?%0D%0A%0D%0A %0D%0A{silence}Option A.{silence}%0D%0A32 cm%0D%0A%0D%0A %0D%0A{silence}Option Be.{silence}%0D%0A8 cm%0D%0A%0D%0A %0D%0A{silence}Option C.{silence}%0D%0A16 cm%0D%0A%0D%0A %0D%0A{silence}Option D.{silence}%0D%0A21 cm
We can use the formula for the volume of a square pyramid to solve for the edge length of the base.
Volume = (1/3) * (Area of base) * Height
In this case, we know the volume is 576 cubic centimeters and the height is 27 centimeters. Let's denote the edge length of the base as s.
576 = (1/3) * (s^2) * 27
576 = 9s^2
64 = s^2
s = 8
Therefore, the value of s, the edge length of the base of the pyramid, is 8 cm.
Option B: 8 cm