Question

PLEASE EXPLAIN WHAT YOU DID!!!!!

A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 439.2 in.². The height of the base triangle is 6.9 inches on each side and the base triangle is 18 inches long. What is the height of the box?

Answer 1

To find the height of the box, you will use the formula for finding volume of a prism and solve for the height.

V = Bh, where B is the area of the base

439.2 = 1/2 x 6.9 x 18 x h
439.2 = 62.1h
h = 7.07

The height of the triangular prism is approximately 7.07 inches.