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

270 square inches
270 square inches

111 square inches
111 square inches

222 square inches
222 square inches

180 square inches
180 square inches
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1 answer

The surface area of a rectangular prism can be calculated by finding the area of each individual face and then adding them together. The formula for the surface area of a rectangular prism is: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Given:
Length = 12 inches
Width = 5 inches
Height = 3 inches

Surface Area = 2(12*5) + 2(12*3) + 2(5*3)
Surface Area = 2(60) + 2(36) + 2(15)
Surface Area = 120 + 72 + 30
Surface Area = 222 square inches

Therefore, the correct answer is:
222 square inches