To find the surface area of a rectangular prism, use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Given:
- Length (\( l \)) = 12 inches
- Width (\( w \)) = 5 inches
- Height (\( h \)) = 3 inches
Now plug the values into the formula:
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Calculate the area of each pair of opposite faces:
- \( lw = 12 \times 5 = 60 \)
- \( lh = 12 \times 3 = 36 \)
- \( wh = 5 \times 3 = 15 \)
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Add these areas together: \[ lw + lh + wh = 60 + 36 + 15 = 111 \]
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Multiply the sum by 2 to get the total surface area: \[ \text{Surface Area} = 2 \times 111 = 222 \text{ square inches} \]
Thus, the surface area of the rectangular prism is 222 square inches. The correct response is:
222 square inches.