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 cm3
The volume of a square pyramid can be calculated using the formula V = 1/3 * base area * height.
First, we need to find the area of the base of the pyramid. Since it is a square, we can use the formula for the area of a square: A = side length^2.
Therefore, the area of the base = 30 cm * 30 cm = 900 cm^2.
Next, we can substitute the values into the volume formula:
V = 1/3 * 900 cm^2 * 45 cm = 1/3 * 40500 cm^3 = 13,500 cm^3.
Therefore, the volume of the pyramid is 13,500 cm^3. The correct answer is 13,500 cm3.