Find the volume of a pyramid with a square base, where the perimeter of the base is 15.8\text{ ft}15.8 ft and the height of the pyramid is 20.4\text{ ft}20.4 ft. Round your answer to the nearest tenth of a cubic foot.

The volume of the Pyramid is 318.3 cubic foot

Step-by-step explanation:

Here, we want to calculate the volume of the Pyramid

Mathematically, the volume of the pyramid is the area of the square base multiplied by the height of the Pyramid.

Since the perimeter is 15.8 and the formula for the perimeter is 4L

we can get the length of the side of the square

The length of the side will be 15.8/4 = 3.95

The area of the square base is thus equal to;

3.95^2 = 15.6025 square feet

Now we can multiply this by the height

Mathematically, that will be;

15.6025 * 20.4 = 318.291 which is approximately 318.3 cubic foot

- 1.613 = -1.6 or -1.61

-1.522 = -1.5 or -1.52

0.587 = 0.6 or 0.59

3.079 = 3.1 or 3.08