Answer: Choice A) 252 in^2
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Step-by-step explanation:
Refer to the diagram below.
The red rectangle is 6 inches by 12 inches, so its area is 6*12 = 72 square inches. There are two of these rectangles (one on top, one on the bottom). That accounts for 2*72 = 144 square inches so far.
The purple rectangles are 3 inches by 12 inches, yielding an area of 3*12 = 36 square inches each. That's another 2*36 = 72 square inches when we account for the front and back purple rectangles.
The green rectangles are 6 inches by 3 inches. Each green rectangle is 6*3 = 18 square inches. Having two of them means we'll add on 2*18 = 36 square inches.
Overall, the entire surface area is the sum of all the areas we calculated: 144+72+36 = 252 square inches, which is choice A
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Alternative Method:
- L = 12 = length
- W = 6 = width
- H = 3 = height
SA = surface area of the rectangular prism
SA = 2*(L*W + L*H + W*H)
SA = 2*(12*6 + 12*3 + 6*3)
SA = 2*(72 + 36 + 18)
SA = 2*(126)
SA = 252 in^2
So we get the same answer either way