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

111 square inches

270 square inches

180 square inches

1 answer

To find the surface area of a rectangular prism, you need to find the areas of all six faces and then add them together.

Front face area: 12 inches x 3 inches = 36 square inches
Back face area: 12 inches x 3 inches = 36 square inches
Top face area: 12 inches x 5 inches = 60 square inches
Bottom face area: 12 inches x 5 inches = 60 square inches
Right face area: 5 inches x 3 inches = 15 square inches
Left face area: 5 inches x 3 inches = 15 square inches

Adding up all the areas: 36 + 36 + 60 + 60 + 15 + 15 = 222

Therefore, the surface area of the rectangular prism is 222 square inches.