Question

Write and simplify an expression for the surface area of a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards. What is the surface area if the height is 4 yards?

Answer 1

• Surface Area= (18.2+12.2h) square yards
• When h=4 yds, Surface Area=67 square yards

Explanation:

Given the length(l), height(h) and width(w) of a rectangular prism.

Surface Area=2(lw+lh+wh)

For a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards.

Surface Area
`=2(2.6*3.5+2.6h+3.5h)`

`=2(9.1+2.6h+3.5h)\\=18.2+5.2h+7h\\`

Surface Area= (18.2+12.2h) square yards

If the height, h=4 yards

Then the surface area of the rectangular prism

=18.2+12.2h

=18.2+12.2(4)

=18.2+48.8

=67 square yards