A company designed a cheese container in the shape of a triangular pyramid. The base of the pyramid must have an are of 81 square cm. The finished container must hold 324 cubic cm of cheese. To accomplish this, what is the height of the container?

Question

Mathematics

Mattie Frost

17 November, 04:21

A company designed a cheese container in the shape of a triangular pyramid. The base of the pyramid must have an are of 81 square cm. The finished container must hold 324 cubic cm of cheese. To accomplish this, what is the height of the container?

+3

Answers (1)

Know the Answer?

Tiffany Hart · Answer 1

To find the necessary height of the triangular pyramid you will use the formula for finding the volume of a pyramid and solve for the missing height.

V = 1/3Bh, where B is the area of the base.

324 = 1/3 x 81 x h

324 = 27h

27 27

h = 12 cm

The height of the container must be 12 centimeters.