A pedestal in a craft store is in the shape of a triangular prism. The bases are right triangles with side lengths of 8 inches, 15 inches, and 17 inches. The store owner wraps a piece of rectangular cloth around the pedestal but does not cover the identical bases of the pedestal with a cloth. The area of the cloth is 200 square inches.

Step-by-step explanation:

Given:

Dinensions of a right angle prism:

Sides:

8 inches

15 inches

17 inches

Area of the rectangular cloth = 200 in^2

A.

Distance around the base = perimeter of the triangle

= summation of all the sides

= a + b + c

= 8 + 15 + 17

= 40 inches

B.

Area of the rectangle cloth = perimeter * height, h

Inputting values,

200 = 40 * h

Therefore, height of the prism = 200/40

= 5 inches