Find the volume of a pyramid with a square base, where the side length of the base is 7.2 cm and the height of the pyramid is 10.4 cm. Round your answer to the nearest tenth of a cubic centimeter.
The formula for the volume of a pyramid is: V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.
For a pyramid with a square base, the area of the base is simply the length of one side squared.
So in this case, the area of the base is: B = 7.2 cm x 7.2 cm = 51.84 square cm
Using the formula for the volume of a pyramid, we can now calculate the volume:
V = (1/3) x 51.84 cm^2 x 10.4 cm
V = 180.224 cm^3
Rounding to the nearest tenth of a cubic centimeter, the final answer is:
V ≈ 180.2 cm^3.
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * base area * height
In this case, the base is a square, so the base area can be found by squaring the side length:
Base area = (side length)^2
Let's calculate the volume step by step.
1. Calculate the base area:
Base area = (7.2 cm)^2 = 51.84 cm^2
2. Calculate the volume:
Volume = (1/3) * 51.84 cm^2 * 10.4 cm
Volume = 1/3 * 539.136 cm^3
Volume ≈ 179.712 cm^3
Rounded to the nearest tenth, the volume of the pyramid is approximately 179.7 cubic centimeters.
To find the volume of a pyramid, you can use the formula V = (1/3) * Base Area * height, where the base area is the area of the square base.
First, calculate the base area of the square base. Since the side length of the base is given as 7.2 cm, we can use the formula for the area of a square: A = side length * side length. Therefore, the base area is 7.2 cm * 7.2 cm = 51.84 square cm.
Next, substitute the base area and the height into the formula for the volume of a pyramid: V = (1/3) * 51.84 square cm * 10.4 cm = 179.2 cubic cm.
Rounding the answer to the nearest tenth, the volume of the pyramid is approximately 179.2 cubic cm.