Find the volume of a pyramid with a square base, where the side length of the base is 11, point, 8, ft11.8 ft and the height of the pyramid is 5, point, 2, ft5.2 ft. Round your answer to the nearest tenth of a cubic foot.

5 answers

The volume of a pyramid is given by the formula:

\[ V = \frac{1}{3}Bh \]

where B is the area of the base and h is the height of the pyramid.

First, we need to find the area of the base. Since the base is a square with side length 11.8 ft, the area of the base is:

\[ B = (11.8 ft)^2 = 139.24 ft^2 \]

Next, we can substitute the values into the formula to find the volume:

\[ V = \frac{1}{3}(139.24 ft^2)(5.2 ft) \]

\[ V = 306.492 ft^3 \]

Rounded to the nearest tenth, the volume of the pyramid is approximately 306.5 cubic feet.
Can you give me the right answer? Like, without any explanation?
The volume of the pyramid is approximately 306.5 cubic feet.
Not right.. Try again.
My apologies for the mistake. Let's redo the calculations correctly.

The volume of a pyramid is given by the formula:

\[ V = \frac{1}{3}Bh \]

where B is the area of the base and h is the height of the pyramid.

First, we need to find the area of the base. Since the base is a square with side length 11.8 ft, the area of the base is:

\[ B = (11.8 ft)^2 = 139.24 ft^2 \]

Next, we can substitute the values into the formula to find the volume:

\[ V = \frac{1}{3}(139.24 ft^2)(5.2 ft) \]

\[ V = 304.1952 ft^3 \]

Rounded to the nearest tenth, the volume of the pyramid is approximately 304.2 cubic feet.