The perimeter of the base of a right square pyramid is 32 cm. The height of the pyramid is 8 cm.
What is the volume of the pyramid?
Responses
85.33 cm³
85.33 cm³
170.67 cm³
, 170.67 cm³
256 cm³
, 256 cm³
512 cm³
To find the volume of a pyramid, you can use the formula: V = (1/3) * base area * height.
Since the base is a square, with a perimeter of 32 cm, each side of the square base would be 8 cm long (32 cm / 4 = 8 cm).
The base area of the square is given by (side length) ^ 2 = 8 cm * 8 cm = 64 cm^2.
Now, plug the values into the formula: V = (1/3) * 64 cm^2 * 8 cm = 170.67 cm^3.
Therefore, the volume of the pyramid is 170.67 cm³.