A company designed a cheese container in the shape of a triangular pyramid. The base of the pyramid must have an are of 81 squar

Question

patriot [66]

3 years ago

9

A company designed a cheese container in the shape of a triangular pyramid. The base of the pyramid must have an are of 81 squar

e cm. The finished container must hold 324 cubic cm of cheese. To accomplish this, what is the height of the container?

Mathematics

1 answer:

mihalych1998 [28] · Answer 1 · 2021-11-15T05:56:46+03:00

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
<u>324</u> = <u>27h</u>
27 27
h = 12 cm

The height of the container must be 12 centimeters.