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Three cube-shaped aquariums that are five inches on each sid
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26 Oct 2019, 13:14

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Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing.

Which of the following could be the length, in inches, of a side of the larger aquarium?

Indicate all possible value:

(A) 6.9

(B) 8.4

(C) 9.5

_________________

Which of the following could be the length, in inches, of a side of the larger aquarium?

Indicate all possible value:

(A) 6.9

(B) 8.4

(C) 9.5

_________________

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Re: Three cube-shaped aquariums that are five inches on each sid
[#permalink]
28 Oct 2019, 05:43

1

huda wrote:

Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing.

Which of the following could be the length, in inches, of a side of the larger aquarium?

Indicate all possible value:

(A) 6.9

(B) 8.4

(C) 9.5

Which of the following could be the length, in inches, of a side of the larger aquarium?

Indicate all possible value:

(A) 6.9

(B) 8.4

(C) 9.5

Show: :: OA

B

Here,

Volume of 1 small cube = \(5^3 = 125\)

Total volume of all 3 cubes = \(3 * 125 = 375\)

Now, let check with each option

a) 6.9 : Volume of the cube = \((6.9)^3 = 328\). This is not possible since the volume of larger cube aquarium < 3 small cube aquarium

b) 8.4 : Volume of the cube = \((8.4)^3 = 592\). Now 50% of 592 = 296 = This is one possible solution, since 375 (smaller cube aquarium) > 50% of Larger aquarium

c) 9.5 : Volume of the cube = \((9.5)^3 = 857\). Now 50% of 857 = 428 = This is not possible as the volume of smaller cubes = 375 and is < 50% volume of larger aquarium

Option B

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Re: Three cube-shaped aquariums that are five inches on each sid
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24 Apr 2020, 01:51

huda wrote:

Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing.

Which of the following could be the length, in inches, of a side of the larger aquarium?

Indicate all possible value:

(A) 6.9

(B) 8.4

(C) 9.5

Which of the following could be the length, in inches, of a side of the larger aquarium?

Indicate all possible value:

(A) 6.9

(B) 8.4

(C) 9.5

Show: :: OA

B

Isn't this a 3D shape problem ? It will be helpful if the tag is corrected

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If you have a doubt, reply here or PM

If you like the solution, give a Kudo

If you like the solution, give a Kudo

Re: Three cube-shaped aquariums that are five inches on each sid
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23 Jul 2021, 02:23

Hello from the GRE Prep Club BumpBot!

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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