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?
A676.24 ft²
B213.3ft ^ 7
C 426.6ft ^ 2
D 1,123.38 * t ^ 2
To find the lateral surface area of the shop, we need to find the area of all the sides except for the top and bottom.
The dimensions of the shop are:
Length = 9 ft
Width = 7.9 ft
Height = 15.8 ft
The lateral surface area is equal to the sum of the areas of the four sides of the rectangular prism.
Area of one side = Length * Height
= 9 ft * 15.8 ft
= 142.2 ft²
Area of the other side = Width * Height
= 7.9 ft * 15.8 ft
= 124.82 ft²
So, the total lateral surface area is:
142.2 ft² + 124.82 ft² = 267.02 ft²
Thus, the correct answer is C) 426.6 ft².