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. 676.24 ft?
B. 213.3 ft?
C. 426.6 ft?
D. 1,123.38^2
To find the lateral surface area of the shop, we need to find the sum of the areas of all the sides of the shop except for the top and bottom.
The shop is in the shape of a rectangular prism with dimensions 9ft, 7.9ft, and 15.8ft.
We can calculate the area of each face and then add them together to get the lateral surface area:
Face 1: 9ft * 7.9ft = 71.1ft²
Face 2: 7.9ft * 15.8ft = 124.82ft²
Face 3: 9ft * 15.8ft = 142.2ft²
Face 4: 7.9ft * 15.8ft = 124.82ft²
The total lateral surface area is 71.1ft² + 124.82ft² + 142.2ft² + 124.82ft² = 462.94ft²
Therefore, the correct answer is not listed.