To find the surface area of a rectangular prism, you need to add up the areas of all six faces.
The rectangular prism has two pairs of congruent faces. The top and bottom faces have dimensions of 3 miles by 2 miles, so each has an area of 3 miles * 2 miles = 6 square miles. Therefore, the total area of both top and bottom faces is 2 * 6 square miles = 12 square miles.
The front and back faces also have dimensions of 3 miles by 5 miles, so each has an area of 3 miles * 5 miles = 15 square miles. Therefore, the total area of both front and back faces is 2 * 15 square miles = 30 square miles.
The left and right faces have dimensions of 2 miles by 5 miles, so each has an area of 2 miles * 5 miles = 10 square miles. Therefore, the total area of both left and right faces is 2 * 10 square miles = 20 square miles.
Adding up all the areas, the surface area of the rectangular prism is 12 square miles + 30 square miles + 20 square miles = 62 square miles.
Find the surface area of the rectangular prism.
Length: 3 mi
Width: 2 mi
Height: 5 mi
1 answer