To find the surface area of a rectangular prism, you need to calculate the area of each of the six faces and then add them up.
The top and bottom faces have dimensions 12 inches by 5 inches, so each has an area of 12 * 5 = 60 square inches. Since there are two of these faces, their combined area is 2 * 60 = 120 square inches.
The front and back faces have dimensions 12 inches by 3 inches, so each has an area of 12 * 3 = 36 square inches. Since there are two of these faces, their combined area is 2 * 36 = 72 square inches.
The right and left faces have dimensions 5 inches by 3 inches, so each has an area of 5 * 3 = 15 square inches. Since there are two of these faces, their combined area is 2 * 15 = 30 square inches.
Therefore, the total surface area of the rectangular prism is 120 (top and bottom) + 72 (front and back) + 30 (right and left) = 222 square inches.
The correct response is:
222 square inches
Surface Area of Cubes & Rectangular Prisms Quick Check
3 of 53 of 5 Items
Question
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
180 square inches
180 square inches
111 square inches
111 square inches
270 square inches
270 square inches
222 square inches
222 square inches
2 answers
naw i did the math and it 336