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A cube has a volume of 72. If it is divided into 8 equal cubes, the ra
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16 Jun 2021, 04:30
16 Jun 2021, 04:30
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A cube has a volume of 72. If it is divided into 8 equal cubes, the ratio of an edge of a smaller cube to an edge of the original cube is
(A) 1 : 2
(B) 1: 3
(C) 1 : 3√2
(D) 2 : 9
(E) 1 : 9
(A) 1 : 2
(B) 1: 3
(C) 1 : 3√2
(D) 2 : 9
(E) 1 : 9
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Re: A cube has a volume of 72. If it is divided into 8 equal cubes, the ra
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16 Jun 2021, 05:04
16 Jun 2021, 05:04
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Carcass wrote:
A cube has a volume of 72. If it is divided into 8 equal cubes, the ratio of an edge of a smaller cube to an edge of the original cube is
(A) 1 : 2
(B) 1: 3
(C) 1 : 3√2
(D) 2 : 9
(E) 1 : 9
(A) 1 : 2
(B) 1: 3
(C) 1 : 3√2
(D) 2 : 9
(E) 1 : 9
Great question!
The great thing about it is that the volume of the original cube is irrelevant.
It all comes down to what happens when we divide ANY cube into 8 equal cubes.
Here's what I mean.
Take a cube and divide it into 8 equal cubes...
If we let x = the length of one edge of the ORIGINAL cube....
....then x/2 = the length of one edge of the SMALLER cube....
What is the ratio of an edge of a smaller cube to an edge of the original cube?
Get get: x/2 : x
Divide both sides by x to get the EQUIVALENT ratio: 1/2 : 1
Multiply both sides by 2 to get the EQUIVALENT ratio: 1 : 2
Answer: A
Cheers,
Brent
gmatclubot
Re: A cube has a volume of 72. If it is divided into 8 equal cubes, the ra [#permalink]
16 Jun 2021, 05:04
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