A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid?

117 cubic feet
1,170 cubic feet
390 cubic feet
3,510 cubic feet

1/3 * 9 * 13 * 30

To find the volume of a pyramid, you need to multiply the area of the base by the height and divide that product by 3.

First, let's calculate the area of the base. Since the base of the pyramid is a rectangle, you can find the area by multiplying its length by its width.

Area of the base = Length × Width
= 13 ft × 9 ft
= 117 ft²

Now, we can calculate the volume of the pyramid.

Volume of the pyramid = (Area of the base × Height) / 3
= (117 ft² × 30 ft) / 3
= 3,510 ft³

Therefore, the volume of the pyramid is 3,510 cubic feet.

1,170 for those who just want the answer instead of having to go to your calculator.

To find the volume of the pyramid, we can use the formula V = (1/3) * base_area * height.

First, calculate the base area of the rectangle by multiplying the width and length:
Base_area = 9 ft * 13 ft = 117 square feet

Next, substitute the values into the volume formula:
V = (1/3) * 117 sq ft * 30 ft = 13 * 30 = 390 cubic feet

Therefore, the volume of the pyramid is 390 cubic feet.