Surface Area of Cubes & Rectangular Prisms Quick Check

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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

222 square inches
222 square inches

111 square inches
111 square inches

180 square inches
180 square inches

270 square inches

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

First, find the area of the top and bottom faces:
Top and bottom: 12 inches * 5 inches = 60 square inches each

Next, find the area of the front and back faces:
Front and back: 12 inches * 3 inches = 36 square inches each

Finally, find the area of the right and left faces:
Right and left: 5 inches * 3 inches = 15 square inches each

Now add up all the areas:
60 + 60 + 36 + 36 + 15 + 15 = 222 square inches

Therefore, the correct answer is:
222 square inches