What is the volume of this pyramid?

720 cm³

1080 cm³

1440 cm³

2160 cm³

A pyramid with a right triangular base. The right triangular base has a base length of nine centimeters and a height of fifteen centimeters. The height of the pyramid is thirty-two centimeters long.

720

Step-by-step explanation:

The volume of a pyramid is V = b x h x 1/3. b is the area of the base and h is the height of the pyramid. First we must find the area of the base. Since the base is a triangle we will use the formula for the area of a triangle A = b x h x 1/2 so A = 9 x 15 x 1/2 simplify A=135 x 1/2. This is also just 135 divided by 2. A=67.5 Now we can use this to find the volume. V = 67.5 x 32 x 1/3. V = 2160 x 1/3. (or just divided by 3). Lastly, V = 720