Question

Find the height of a rectangular prism if the surface area is 458.17 in2, the width is 6.2 in and the length is 8.3 in.

Answer 1

Let:

SA = Surface Area = 458.17 in²
L = Length = 8.3 in
W = Width = 6.2 in
H = Height = What we're solving for.

The formula for the surface area of a rectangular prism is

SA = 2*(LW + LH + WH)

Substituting values:

458.17 = 2*(8.3*6.2 + 8.3H + 6.2H)

229.085 = 51.46 + 14.5H

14.5H = 229.085 - 51.46

H = 117.625/14.5

H = 12.25 inches.