Question

The formula for the surface area S of a rectangular prism is S=2hl+2hw+2lw, where l is the length,w is the width, and h is the height. Solve the formula for height h.

Answer 1

Hey there!!

Equation given :

S = 2hl + 2hw + 2lw

... S = 2 ( hl + hw + lw )

S / 2 = hl + hw + lw

S / 2 = h ( l  + w ) + lw

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

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

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

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

$\frac{S-2lw}{2l+2w} = h$

Hope my answer helps!!