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The figure shows a cube with edge of length e.
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15 Dec 2020, 05:06
15 Dec 2020, 05:06
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90% (00:34) correct
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GRE The figure shows a cube with edge of length e..jpg [ 10.2 KiB | Viewed 2301 times ]
The figure shows a cube with edge of length \(e\).
Quantity A |
Quantity B |
The length of diagonal AB |
\(\sqrt{2}\) \(e \) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: The figure shows a cube with edge of length e.
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16 Dec 2020, 20:10
16 Dec 2020, 20:10
2
To find a diagonal length in this type of cube, the formula is √3 * side of the cube.
In this question, the side is given e
so Qt A will be √3e
Qt B is √2e
Thus Qt A > Qt B
In this question, the side is given e
so Qt A will be √3e
Qt B is √2e
Thus Qt A > Qt B
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Joined: 22 Jul 2019
Posts: 14
Given Kudos: 75
Location: United States
Re: The figure shows a cube with edge of length e.
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25 Feb 2021, 20:26
25 Feb 2021, 20:26
Notes about diagonal
#Formula for total number of diagonal of any regular polygon = n(n-3)/2 here n is number sides
Number of diagonal can be drawn from any vertex = n-3
#length of diagonal of a square= s√2 here 's' is length of side
#length of Main diagonal of a cube= s√3
however, length of "face" diagonal of a cube = s√2
# length of diagonal of a rectangle = √(a^2+b^2) , here a & b are sides of rectangle
# length of diagonal of a Solid rectangle = √(a^2+b^2+c^2) ,here a,b & c are sides of solid rectangle
#Formula for total number of diagonal of any regular polygon = n(n-3)/2 here n is number sides
Number of diagonal can be drawn from any vertex = n-3
#length of diagonal of a square= s√2 here 's' is length of side
#length of Main diagonal of a cube= s√3
however, length of "face" diagonal of a cube = s√2
# length of diagonal of a rectangle = √(a^2+b^2) , here a & b are sides of rectangle
# length of diagonal of a Solid rectangle = √(a^2+b^2+c^2) ,here a,b & c are sides of solid rectangle
