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The large rectangular solid shown here is formed by binding together n
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03 Feb 2023, 11:46
03 Feb 2023, 11:46
Expert Reply
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Question Stats:
85% (02:19) correct
14% (01:37) wrong based on 42 sessions
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The large rectangular solid shown here is formed by binding together nine identical rectangular rods, as shown.
Quantity A |
Quantity B |
Four times the surface area of just one of the identical rectangular rods |
The surface area of the large rectangular solid above |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: The large rectangular solid shown here is formed by binding together n
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20 Feb 2023, 08:04
20 Feb 2023, 08:04
Expert Reply
OE
A rectangular solid has three pairs of opposing equal faces, each pair representing two of the dimensions of the solid (length × width; length × height; height × width). The total surface area of a rectangular solid is the sum of the surface areas of those three pairs of opposing sides. According to the diagram, the dimensions of each rod must be 1 × 1 × 6. So the surface area of one such rod is: 2(1 × 1) + 2(1 × 6) + 2(1 × 6) = 26 or 2[(1 × 1) + (1 × 6) + (1 × 6)] = 26 That is, one rod has a total surface area of 26, and four times this surface area is 4 × 26 = 104.
The large rectangular solid has a total surface area of: 2(3 × 3) + 2(3 × 6) + 2(3 × 6), or 90.
A > B
A rectangular solid has three pairs of opposing equal faces, each pair representing two of the dimensions of the solid (length × width; length × height; height × width). The total surface area of a rectangular solid is the sum of the surface areas of those three pairs of opposing sides. According to the diagram, the dimensions of each rod must be 1 × 1 × 6. So the surface area of one such rod is: 2(1 × 1) + 2(1 × 6) + 2(1 × 6) = 26 or 2[(1 × 1) + (1 × 6) + (1 × 6)] = 26 That is, one rod has a total surface area of 26, and four times this surface area is 4 × 26 = 104.
The large rectangular solid has a total surface area of: 2(3 × 3) + 2(3 × 6) + 2(3 × 6), or 90.
A > B
gmatclubot
Re: The large rectangular solid shown here is formed by binding together n [#permalink]
20 Feb 2023, 08:04
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