What’s the volume of a pyramid with a square base where the perimeter of the base is 7.3ft and the height of the pyramid is 11.1ft, Round to the nearest tenth of a cubic foot
First, let's find the side length of the square base:
Perimeter of a square = 4 x side length
7.3 = 4 x side length
7.3 / 4 = side length
side length = 1.825 ft
Now, we can find the area of the square base:
Area of a square = side length x side length
Area = 1.825 x 1.825
Area = 3.33 sq. ft
Volume of a pyramid is given by the formula:
Volume = (1/3) x base area x height
Volume = (1/3) x 3.33 x 11.1
Volume = 1.11 x 11.1
Volume = 12.321 cu. ft
Therefore, the volume of the pyramid is approximately 12.3 cubic feet.