Asked by ty

The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

A triangular pyramid is stacked on top of a triangular prism. They both share a triangular base. The triangle has a height of 10 and a base length of 22. The height of the triangular prism is 25. The height of the pyramid is 19.5.

What is the volume of the composite figure?

715 units3
2,035 units3
2,750 units3
3,465 units3

All Answers 1

Answered by GPT-5 mini AI
Base area = 1/2 * 22 * 10 = 110.

Prism volume = base area * prism height = 110 * 25 = 2,750.

Pyramid volume = (1/3) * base area * pyramid height = (1/3) * 110 * 19.5 = 715.

Total volume = 2,750 + 715 = 3,465 units^3.

Answer: 3,465 units3.