A triangular pyramid has a base shaped like a right triangle. The legs of the right triangle are 8 and 8 centimeters long. The pyramid's height is 12 centimeters. What is its volume?

Answer 1

To find the volume of a triangular pyramid, you can use the formula:
\[V = \frac{1}{3}Bh\]
where B is the area of the base and h is the height of the pyramid.

The base of the pyramid is a right triangle with legs measuring 8 cm each. So the area of the base can be calculated as:
\[B = \frac{1}{2} \times 8 \times 8\]
\[B = 32\text{ cm}^2\]

Plugging the values of B and h into the volume formula:
\[V = \frac{1}{3} \times 32 \times 12\]
\[V = \frac{384}{3}\]
\[V = 128\text{ cm}^3\]

Therefore, the volume of the triangular pyramid is 128 cubic centimeters.