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?
SA =

+

h


The surface area is

yd2.
You will get BRAINLIEST

Answer 1

Given:

Given that the rectangular prism with length l = 2..6 yards.

The width of the rectangular prism is 3.5 yards.

The height of the prism is h yards.

We need to determine the simplified expression for the surface area of the rectangular prism.

We also need to determine the surface area of the prism if the height is 4 yards.

Expression for the surface area of the prism:

The surface area of the rectangular prism can be determined using the formula,

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

Substituting l = 2.6, w = 3.5, h = h, we get;

$SA=2[(2.6)(3.5)+(3.5)h+(2.6)h]$

$SA=2(9.1+3.5h+2.6h)$

$SA=2(9.1+6.1 h)$

$SA=18.2+12.2h$

Thus, the simplified expression for the surface area of the prism is $SA=18.2+12.2h$

Surface area of the prism:

Now, we shall determine the surface area of the prism if the height is 4 yards.

Substituting the value h = 4 in the expression $SA=18.2+12.2h$, we have;

$SA=18.2+12.2(4)$

$SA=18.2+48.8$

$SA=67 \ yd^2$

Thus, the surface area of the rectangular prism is 67 square yards.