Question

9. 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

[AI-generated answer — Bot GPT 3.5]

Using the formula V = 1/3AH, we first need to calculate the area of the triangle base.

The area of a right triangle can be calculated using the formula: A = (1/2) * base * height.

Given that the legs of the right triangle are 8 and 8 centimeters, the base and height of the triangle are both 8 cm.

A = (1/2) * 8 * 8 = 32 square centimeters

Now, we can calculate the volume of the pyramid:

V = (1/3) * 32 * 12 = 128 cubic centimeters

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

Answer: 128 cubic centimeters