Question

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?

Note: The volume of a triangular pyramid can be found using the formula V = 1/3AH where A = area of the triangle base, and H = height of the pyramid
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2 points
768 cubic centimeters
96 cubic centimeters
384 cubic centimeters
128 cubic centimeters

Answer 1

First, we need to find the area of the base of the pyramid, which is a right triangle. We can use the formula for the area of a right triangle, which is 1/2 * base * height. In this case, the base and height of the right triangle are both 8 cm, so the area of the base is 1/2 * 8 * 8 = 32 square centimeters.

Now we can plug the values into the formula for the volume of a triangular pyramid: V = 1/3 * 32 * 12 = 128 cubic centimeters.

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

So the correct answer is: 128 cubic centimeters.