The base of this right triangular pyramid is a right triangle with legs that are 8 cm and 9 cm. The volume of the pyramid is 132 cm³.

What is the height of this pyramid?

1 answer

Let's denote the height of the pyramid as h.

The formula for the volume of a pyramid is (1/3)*Base Area*Height.

Since the base of the pyramid is a right triangle with legs 8 cm and 9 cm, the area of the base is (1/2)*8*9 = 36 cm².

Substitute the values into the volume formula:
132 = (1/3)*36*h
132 = 12h
h = 11 cm

Therefore, the height of the pyramid is 11 cm.