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The length of an edge of cube R is 2 and the length of an ed
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16 Aug 2019, 11:58
16 Aug 2019, 11:58
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82% (01:10) correct
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The length of an edge of cube R is 2 and the length of an edge of cube T is 3.
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
Quantity A |
Quantity B |
The ratio of the surface area of cube R to that of cube T |
The ratio of the volume of cube R to that of cube T |
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 length of an edge of cube R is 2 and the length of an ed
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19 Aug 2019, 17:50
19 Aug 2019, 17:50
1
We are given a length of a cube, and since each cube's side makes up a square, we already have the lengths.
Surface Area is L*W*6 -- The six coming from a cube having 6 sides.
Volume is L*W*H.
Quantity A is 24/54, with 24 coming from 2*2*6 and 54 coming from 3*3*6.
Quantity B is 8/27, with 8 coming from 2^3 and 27 coming from 3^3.
Simplify Quantity A to get 12/27.
Quantity A of 12/27 is greater than Quantity B of 8/27.
The answer is Quantity A.
Surface Area is L*W*6 -- The six coming from a cube having 6 sides.
Volume is L*W*H.
Quantity A is 24/54, with 24 coming from 2*2*6 and 54 coming from 3*3*6.
Quantity B is 8/27, with 8 coming from 2^3 and 27 coming from 3^3.
Simplify Quantity A to get 12/27.
Quantity A of 12/27 is greater than Quantity B of 8/27.
The answer is Quantity A.
