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A rectangular solid P has height 2c and a base of width a an

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A rectangular solid P has height 2c and a base of width a an [#permalink] New post 17 Dec 2017, 14:15
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A rectangular solid P has height 2c and a base of width a and length b. Two other rectangular solids, Q and R, each have height c and bases of width a and length b. Which of the following represents the amount by which the sum of the surface areas of Q and R exceeds the surface areas of P?

A. 2ab

B. 4ab

C. 2ab + 2bc

D. 2ab + 4ac

E. 2ab +4ac +4bc
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Re: A rectangular solid P has height 2c and a base of width a an [#permalink] New post 17 Dec 2017, 20:47
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So the formula for the aurface area is 2ab + 2bc + 2ac

Lets replace by values. A= 2 B= 3 and C = 4
The first one is 2(2)(3) + 2(3)(8) + 2(2)(8) = 92 (8 because 2C)
The two small ones will have 4 for C.
2(2)(3) + 2(3)(4) + 2(2)(4) = 52
We want to know the surface area for figures so 52 *2 = 104
The difference os 104 -92 = 12
So A
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Re: A rectangular solid P has height 2c and a base of width a an [#permalink] New post 18 Dec 2017, 11:57
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Added the OA.

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Re: A rectangular solid P has height 2c and a base of width a an   [#permalink] 18 Dec 2017, 11:57
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