Question

I need help on this assignment

Answer 1

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

$2\times l\times w=2lw$          ...(i)

The product of twice of the length l and the height is:

$2\times l\times h=2lh$           ...(ii)

The product of twice of the width w and the height h is:

$2\times w\times h=2wh$       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

$A=2lw+2lh+2wh$

$A=2(lw+lh+wh)$

Therefore, the required expression is $2(lw+lh+wh)$.