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In the rectangular solid above, RW = VW = UV = 7.5. Which of the follo
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05 Dec 2022, 02:27
05 Dec 2022, 02:27
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78% (02:24) correct
21% (01:37) wrong based on 19 sessions
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GRE In the rectangular solid above, RW = VW = UV = 7.5.jpg [ 9.47 KiB | Viewed 1731 times ]
In the rectangular solid above, RW = VW = UV = 7.5. Which of the following statements must be true ?
Indicate all such statements.
A. The surface area of the rectangular solid is 421.875
B. The volume of the rectangular solid is 337.5
C. SV (not shown) = UV
D. The distance from T to W is 12.99
Re: In the rectangular solid above, RW = VW = UV = 7.5. Which of the follo
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09 Dec 2022, 04:30
09 Dec 2022, 04:30
Expert Reply
OE
Because all the edges are equal, the figure is a cube. The formula for the surface area of a cube is 6s2, where s is a side of the cube. Thus, the surface area of the solid is 337.5; eliminate choice (A). The formula for the volume of a cube is s3, so the volume of the cube is 421.875; eliminate choice (B). SV is a diagonal of the cube. The formula for the diagonal of a box is a^2 + b^2 + c^2 = d^2, where a, b, and c are the sides of the box and d is the diagonal. Thus, SV is 12.99 and does not equal UV. Eliminate choice (C). TW is also a diagonal of the cube, so its length is 12.99. The only correct answer is choice (D).
Because all the edges are equal, the figure is a cube. The formula for the surface area of a cube is 6s2, where s is a side of the cube. Thus, the surface area of the solid is 337.5; eliminate choice (A). The formula for the volume of a cube is s3, so the volume of the cube is 421.875; eliminate choice (B). SV is a diagonal of the cube. The formula for the diagonal of a box is a^2 + b^2 + c^2 = d^2, where a, b, and c are the sides of the box and d is the diagonal. Thus, SV is 12.99 and does not equal UV. Eliminate choice (C). TW is also a diagonal of the cube, so its length is 12.99. The only correct answer is choice (D).
gmatclubot
Re: In the rectangular solid above, RW = VW = UV = 7.5. Which of the follo [#permalink]
09 Dec 2022, 04:30
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