Question

The formula for the surface area, S, of a rectangular prism is shown below. Solve the formula for the width w.

S=2lw+2lh+2wh

Answer 1

w = (S/2 - lh) ÷ (l + h)

Explanation:

S = 2(lw + lh + wh)

S/2 = lw + lh + wh

S/2 - lh = lw + wh

S/2 - lh = w(l + h)

(S/2 - lh) ÷ (l + h) = w

w = (S/2 - lh) ÷ (l + h)