The side length of the base of a square pyramid in 30 centimeters. The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters?

13,500 cm3

40,500 cm3

900 cm3

1,350 cm

1 answer

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

First, calculate the base area of the square pyramid:
Base area = (side length)^2
Base area = 30 cm * 30 cm
Base area = 900 cm2

Now, plug the base area and height into the formula:
V = (1/3) * 900 cm2 * 45 cm
V = (1/3) * 40500 cm3
V = 13,500 cm3

Therefore, the volume of the pyramid is 13,500 cm3. Hence, the correct answer is 13,500 cm3.