Question

Use the image to answer the question.

A triangular pyramid with a square base has a dotted line segment labeled h equals question mark extending from the top vertex to the base. The base of the pyramid is labeled a equals 13 feet squared.

Fatima measures this square-based pyramid. She finds that its volume is 52 cubic feet. What is the height of Fatima’s pyramid?

(1 point)
Responses

225 ft.
225 ft.

4 ft.
4 ft.

12 ft.
12 ft.

10 ft.

Answer 1

Volume formula: V = (1/3)(base area)·h.
So 52 = (1/3)(13)h → 13h = 156 → h = 12 feet.

Answer: 12 ft.