The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.

What is the volume of the pyramid?

Responses

32 cm³

72 cm³

60 cm³

48 cm³

1 answer

The formula for the volume of a pyramid is V = (1/3) * base area * height.

Given that the base of the pyramid is a square, and the perimeter of the square base is 24 cm. Therefore, the side length of the square base is 24 cm / 4 = 6 cm.

The base area of the square is side length^2 = 6 cm * 6cm = 36 cm².

Now, substituting into the formula:
V = (1/3) * 36 cm² * 6 cm
V = 72 cm³

Therefore, the volume of the pyramid is 72 cm³.

Correct response: 72 cm³.