Question

The surface area of a rectangular prism is the sum of:

• the product of twice the length and the width w,
• the product of twice the length and the height h, and
the product of twice the width and the height.
Write an expression that represents the surface area of a prism.

Answer 1

Surface area of prism=
`2(l+w)h+2(lw)`

Explanation:

We are given that surface area of rectangular prism=
`2(lw+lh+wh)`

We have to write an expression that represents the surface area of prism.

Base of prism is made from length and width

Perimeter of base =2(l+w)

Area of base=lw=Area of top

Surface area of prism=Perimeter of base multiply by height+2 area of base

Because area of base and area of top are equal.

Surface area of prism=Ph+2B=2(l+w)h+2(lw)