Micah is going to paint his woodworking shop the shop is a rectangular prism the dimension of the shop are shown in the diagram 9 ft 7.9 ft 15.8 ft including the door what is the lateral space area of the shop in square feet
To find the lateral surface area of the woodworking shop, you need to calculate the area of all its four walls (excluding the floor and the roof).
The dimensions of the shop are 9 ft, 7.9 ft, and 15.8 ft.
First, let's consider the two longer walls. The height of the shop, which is the width of the walls, is 7.9 ft. The length of each longer wall is 15.8 ft. So, the area of each longer wall is 7.9 ft * 15.8 ft = 124.82 ft².
Next, let's consider the two shorter walls. The height of the shop, which is the width of the walls, is still 7.9 ft. The length of each shorter wall is 9 ft. So, the area of each shorter wall is 7.9 ft * 9 ft = 71.1 ft².
Therefore, the total lateral surface area of the woodworking shop is 2 * (area of longer walls) + 2 * (area of shorter walls) = 2 * 124.82 ft² + 2 * 71.1 ft² = 249.64 ft² + 142.2 ft² = 391.84 ft².
So, the lateral surface area of the shop is 391.84 square feet.