Micah is going to paint his woodworking shop. The shop is a rectangular prism. The dimensions of the shop are shown in the diagram.
9 ft
7.9 ft
15.8 ft
Including the doors, what is the lateral surface area of the shop in square feet?
A
B
676.24 ft²
213.3f * t ^ 7
C 426.6f * t ^ 2
D 1.123 * 0.38f * t ^ 2
To find the lateral surface area of the rectangular prism, we need to add the areas of all four sides. The formula for the lateral surface area of a rectangular prism is:
Lateral Surface Area = 2*(length*width + width*height + height*length)
Plugging in the given dimensions:
Lateral Surface Area = 2*(9*7.9 + 7.9*15.8 + 15.8*9)
Lateral Surface Area = 2*(71.1 + 124.42 + 142.2)
Lateral Surface Area = 2*(337.72)
Lateral Surface Area = 2*675.44
Lateral Surface Area ≈ 1350.88 ft²
Therefore, the lateral surface area of the shop, including the doors, is approximately 1350.88 ft².