Micah is going to paint his woodworking shop. The shop is a rectangular prism. The dimensions of the shop are shown in the diagram.
length=15.8
width=7.9
height=9
Including the doors, what is the lateral surface area of the shop in square feet?
Responses
A 676.24 ft2676.24 ft 2
B 213.3 ft2213.3 ft 2
C 426.6 ft2426.6 ft 2
D 1,123.38 ft21,123.38 ft 2
To find the lateral surface area of the shop, we need to find the area of all four walls.
The area of one wall is equal to the height multiplied by the width. The area of the other wall is also equal to the height multiplied by the width.
So the lateral surface area of the shop is equal to 2 times the sum of the areas of the two walls.
The area of one wall is 9 feet (height) multiplied by 7.9 feet (width), which equals 71.1 square feet.
Therefore, the total area of both walls is 2 times 71.1 square feet, which equals 142.2 square feet.
So the lateral surface area of the shop is 142.2 square feet.
However, the question asks for the lateral surface area including the doors. Since the dimensions of the doors are not given, we cannot calculate the exact area of the doors.
Therefore, we cannot determine the exact lateral surface area of the shop including the doors.
The correct answer is: Cannot be determined.