What is the volume of this triangular prism? Round to the nearest tenth. *
9 ft.
7 ft.
5 ft.
The volume of a triangular prism is given by the formula V = (1/2) * b * h * l, where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.
In this case, the base of the triangular prism is a triangle with a base of 9 ft and height of 7 ft. Plugging in these values into the formula:
V = (1/2) * 9 ft * 7 ft * 5 ft
= 31.5 ft^3
Therefore, the volume of the triangular prism is approximately 31.5 cubic feet.
What is the volume of a rectangular pyramid with a length of 8 inches, height of 13 inches, and width of 11 inches? Round to the nearest tenth.
h
W
The volume of a rectangular pyramid can be calculated using the formula V = (1/3) * base area * height.
In this case, the base of the rectangular pyramid is a rectangle with a length of 8 inches and a width of 11 inches. The base area can be calculated as length * width = 8 inches * 11 inches = 88 square inches.
Plugging in the values into the formula:
V = (1/3) * 88 in^2 * 13 in
= 383.33 in^3
Therefore, the volume of the rectangular pyramid is approximately 383.3 cubic inches.