The surface area of a rectangular prism can be calculated by adding up the areas of all of its faces.
The top and bottom faces have dimensions of 12 inches by 5 inches, so each face has an area of 12 inches x 5 inches = 60 square inches. There are two of these faces, so they contribute a total of 2 x 60 = 120 square inches.
The front and back faces have dimensions of 12 inches by 3 inches, so each face has an area of 12 inches x 3 inches = 36 square inches. There are two of these faces, so they contribute a total of 2 x 36 = 72 square inches.
The right and left faces have dimensions of 5 inches by 3 inches, so each face has an area of 5 inches x 3 inches = 15 square inches. There are two of these faces, so they contribute a total of 2 x 15 = 30 square inches.
Adding up all of the areas, we get 120 + 72 + 30 = 222 square inches.
Therefore, the surface area of the rectangular prism is 222 square inches.
Use the image to answer the question.
An illustration shows a rectangular prism with length 12 inches, width 5 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.
Solve for the surface area of the rectangular prism.
(1 point)
Responses
222 square inches
222 square inches
111 square inches
111 square inches
180 square inches
180 square inches
270 square inches
1 answer
1 answer