Question
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?
What is the height of this pyramid?
Answers
GPT 3.5
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.
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.