Find the volume of a pyramid with a square base, where the side length of the base is 16, point, 7, in16.7 in and the height of the pyramid is 18, point, 5, in18.5 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

To find the volume of a pyramid, you can use the formula:

Volume = (1/3) * base area * height

First, find the base area of the pyramid by squaring the side length of the square base:

Base area = 16 in * 16 in = 256 in^2

Then, substitute the values into the formula:

Volume = (1/3) * 256 in^2 * 18.5 in

Simplify the formula:

Volume = 4947.7 in^3

Round the answer to the nearest tenth of a cubic inch:

Volume ≈ 4947.7 in^3

Therefore, the volume of the pyramid is approximately 4947.7 cubic inches.

Answer 2

thats wrong bot

Answer 3

Apologies for the mistake in the previous response. Let's correct the calculation:

The base area is a square with a side length of 16 inches, so:

Base area = 16 in * 16 in = 256 square inches

Now, substitute the values into the formula:

Volume = (1/3) * 256 in^2 * 18.5 in

Calculating the volume:

Volume = 4947.7 cubic inches

Rounding to the nearest tenth:

Volume ≈ 4947.7 cubic inches

Therefore, the correct volume of the pyramid is approximately 4947.7 cubic inches.