Question

The surface area of the prism below is 292 square meters. What is the value of X? Show your work.

Please try to show steps.

Answer 1

x= 14 meters

Explanation:

Given

length=x

width=4 meters

height=5 meters

SA= 292 meters

Formula for rectangular prism surface area:

SA=2(lw+lh+wh)

Substitute values and add like terms

292=2(4x+5x+4*5)

292=2(9x+20)

Distribute and solve for x

292=19x+20

292-20=19x

272=19x

x=272/19

x = 14 meters