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

111 square inches
111 square inches

222 square inches
222 square inches

270 square inches
270 square inches

180 square inches
180 square inches
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1 answer

The surface area of a rectangular prism can be found by adding up the areas of all its faces.

In this case, the top and bottom faces have an area of length times width:
2 * (12 * 5) = 120 square inches

The front and back faces have an area of height times width:
2 * (3 * 5) = 30 square inches

The right and left faces have an area of length times height:
2 * (12 * 3) = 72 square inches

Adding up all the areas:
120 + 30 + 72 = 222 square inches

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