What is the total area?

Question

You want to paint a shed.

A gallon of paint can cover 500 square feet. You need to find the number of gallons of paint needed to paint 2 coats on each outside wall of the rectangular shed measuring 8 by 12 feet. The ceiling is 10 feet high. You will have a door in one of the 12 foot walls. The dimensions of the door are 3 feet by 7 feet. (Do not forget to subtract this out of the area needed for that wall)

What is the total area to be painted?

The paint is 32.49$ per gallon, how much will it cost to paint the storage shed?

Answer 1

To solve this problem we have 3 solutions to figure out

1) We need to find the lateral surface area of the shed

1. To find the lateral surface area we add

2(length*height)+ 2(width*height) = lateral surface area

1. We then subtract the area of the door

Lateral surface area - door area (3*7)

1. In total, the equation would present

2(length*height)+ 2(width*height) - (door area)

2(12*10)+2(8*10)-(3*7) = 379 ft²

The total area to be painted is 379 ft²

2) Solve how many gallons of paint to be used

1. Each gallon of paint can cover 500 square feet, we want 2 coats of paint on the shed.
2. Therefore we need 758 ft² painted which means we need 2 gallons of paint

Determine the cost of the total paint

1. The paint costs $32.49 a gallon
2. We will need 2 gallons of paint

The total cost will be $64.98