where the side length of the base is 16.1 cm and the height of the pyramid is 10 cm. round your answer to the nearest tenth of a cubic centimeter
V = 1/3 Bh
To find the volume of a pyramid, we use the formula:
Volume = (1/3) * base area * height
First, let's calculate the base area. Since the base is a square, we can use the formula for the area of a square, which is side length squared.
Base Area = side length^2
Given that the side length of the base is 16.1 cm, we can compute:
Base Area = 16.1 cm * 16.1 cm
Using a calculator, we find that the base area is approximately 259.21 square centimeters.
Now, we can substitute the base area and the height into the volume formula:
Volume = (1/3) * 259.21 cm^2 * 10 cm
Simplifying this calculation gives us:
Volume = 86.4033 cm^3
Rounding this answer to the nearest tenth of a cubic centimeter, the final result is approximate:
Volume ≈ 86.4 cubic centimeters.