High School

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 cloth. The area of the cloth is 200 square inches.

Calculate the height of the pedestal.

Answer :

Answer:

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

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