Sheet metal costs $1.88 per square foot. About how much will Nick spend to cover the outside of the shed, not
including the bottom?

Final Cost: $364.72

Step-by-step explanation:

We can see a picture of the shed attached below. To find the total cost we need to first find the surface area of the entire shed. The sides are rectangles, so to find the surface area we need to multiply the length by the width. Since there are two rectangular sides we multiply the result by 2.

A = L * W

A = 10 * 4.7

A = 47 sq ft. * 2sides

Total = 94 sq ft.

Now we calculate the bottom which is also a rectangle

A = L * W

A = 10 * 8

A = 80sq ft.

Now we need to calculate the surface area of the triangular sides and multiply the results by 2 since there are two triangular sides. The formula for the area of a triangle is half times base times height...

A = 0.5 * B * H

A = 0.5 * 8 * 2.5

A = 10 sq ft  * 2 sides

Total = 20 sq ft

Finally, we need to add the entire surface area and multiply by the cost per square foot to find the total cost.

94 + 20 + 80 = 194 sq ft

194* 1.88 = $364.72