Question
Base of pyramid is a triangle with area of 12 height of 9 what’s the volume
Answers
GPT-4o mini
The volume \( V \) of a pyramid can be calculated using the formula:
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
Given that the area of the base (which is a triangle) is 12 and the height of the pyramid is 9, we can substitute these values into the formula:
\[
V = \frac{1}{3} \times 12 \times 9
\]
Calculating this:
\[
V = \frac{1}{3} \times 12 \times 9 = \frac{108}{3} = 36
\]
Therefore, the volume of the pyramid is \( 36 \) cubic units.
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
Given that the area of the base (which is a triangle) is 12 and the height of the pyramid is 9, we can substitute these values into the formula:
\[
V = \frac{1}{3} \times 12 \times 9
\]
Calculating this:
\[
V = \frac{1}{3} \times 12 \times 9 = \frac{108}{3} = 36
\]
Therefore, the volume of the pyramid is \( 36 \) cubic units.