Question

The surface area of the triangular prism pictured below is 204 square centimeters. What is the height of the prism?

Answer 1

height x=21.5cm

Explanation:

Surface area = 2+ area of triangles + area of the 3 rectangles

SA = 204

204 = 4*3 + x*5 + 5*4 + x*3

204 = 12 +20 +8x

204 -12-20 = 8x

172/8 = x

21.5 = x