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# What is the volume, in cubic meters, of the water in a certain rectang

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
What is the volume, in cubic meters, of the water in a certain rectang  [#permalink]

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08 Jul 2018, 23:37
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:06) correct 26% (01:24) wrong based on 35 sessions

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What is the volume, in cubic meters, of the water in a certain rectangular tank, if the constant depth of the water is 1/3 feet?

(1) The base of the rectangular tank is 6 feet wide and 8 feet long.

(2) If water is drained from the tank until the depth of the remaining water is 1/4 feet, the volume of the drained water is 4 cubic feet.

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Joined: 07 Dec 2017
Posts: 841
Re: What is the volume, in cubic meters, of the water in a certain rectang  [#permalink]

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09 Jul 2018, 01:09
Bunuel wrote:
What is the volume, in cubic meters, of the water in a certain rectangular tank, if the constant depth of the water is 1/3 feet?

(1) The base of the rectangular tank is 6 feet wide and 8 feet long.

(2) If water is drained from the tank until the depth of the remaining water is 1/4 feet, the volume of the drained water is 4 cubic feet.

As we know the height, all we need to know is the area of the base.
We'll look for statements that give us this information, a Logical approach.

(1) exactly what we need!
Sufficient!

(2) this tells us that a specific fraction of the volume, 1 - (1/4)/(1/3) = 1 - 3/4 = 1/4, is 4 cubic feet. Then we calculate the total volume. (note that we didn't actually have to calculate the fraction, just to notice that we could have)
Sufficient.

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Re: What is the volume, in cubic meters, of the water in a certain rectang  [#permalink]

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09 Jul 2018, 08:58
Bunuel wrote:
What is the volume, in cubic meters, of the water in a certain rectangular tank, if the constant depth of the water is 1/3 feet?

(1) The base of the rectangular tank is 6 feet wide and 8 feet long.

(2) If water is drained from the tank until the depth of the remaining water is 1/4 feet, the volume of the drained water is 4 cubic feet.

Given height of water in tank = 1/3 feet

Let w be the width & l be the length of the rectangular tank.

Question is to find w * l * 1/3 = ?

Statement 1: w = 6 feet, l = 8 feet

Statement 1 is Sufficient.

Statement 2: Height of water drained = (1/3 - 1/4) feet

Hence Volume of water drained = w * l * (1/3 - 1/4) = 4 cubic feet

we can w * l, hence Statement 2 is Sufficient.

Thanks,
GyM
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Re: What is the volume, in cubic meters, of the water in a certain rectang &nbs [#permalink] 09 Jul 2018, 08:58
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