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An empty, cubeshaped swimming pool is filled part way with x cubic fe
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29 Oct 2018, 21:12
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An empty, cubeshaped swimming pool is filled part way with x cubic fe
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Updated on: 30 Oct 2018, 00:32
An empty, cubeshaped swimming pool is filled part way with x cubic feet of water. It is then filled the rest of the way with y cubic feet of chlorine. Which of the following, in feet, expresses the depth of the swimming pool?
A. x+yx+y
B. x+y3x+y3
C. x+y‾‾‾‾‾√x+y
D. (x+y)3(x+y)3
E. x+y‾‾‾‾√33x+y33
Depth of the cube pool would be equal to the volume of the cube, given that the cube is filled first with x ft3 water and then yft3 of chlorine hence total volume would be ( x+y)^(1/3), option C
Originally posted by Archit3110 on 29 Oct 2018, 23:50.
Last edited by Archit3110 on 30 Oct 2018, 00:32, edited 1 time in total.



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Re: An empty, cubeshaped swimming pool is filled part way with x cubic fe
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30 Oct 2018, 00:24
Hi, Archit3110 Why do you say "Depth of the cube pool would be equal to the volume of the cube"? Shouldn't the depth be cube root of the volume? Considering V= S(cube) so S= V^1/3 What am I missing? Shouldn't the answer be (x+y)^1/3 ?? I can't find that in the options. chetan2u Gladiator59 generis



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Re: An empty, cubeshaped swimming pool is filled part way with x cubic fe
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30 Oct 2018, 00:26
v= x+y v= s^3 where s is the side. therefore, s (height) = cube root of (x+y) I think answer C should have cube root sign.? Bunuel



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Re: An empty, cubeshaped swimming pool is filled part way with x cubic fe
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30 Oct 2018, 00:30



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Re: An empty, cubeshaped swimming pool is filled part way with x cubic fe
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30 Oct 2018, 01:07
Cubic shaped pool volume =S^3 pool filled with x cubic feet of water. x=50 and y cubic feet of chlorine : y=14 S^3=X+Y S(one side of cube or depth of pool)=√X+Y



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Re: An empty, cubeshaped swimming pool is filled part way with x cubic fe
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30 Oct 2018, 01:55
hibobotamuss wrote: Hi, Archit3110 Why do you say "Depth of the cube pool would be equal to the volume of the cube"? Shouldn't the depth be cube root of the volume? Considering V= S(cube) so S= V^1/3 What am I missing? Shouldn't the answer be (x+y)^1/3 ?? I can't find that in the options. chetan2u Gladiator59 generisI think now the answers have been edited and C is what you are looking at.. any other query please let me know
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Re: An empty, cubeshaped swimming pool is filled part way with x cubic fe
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30 Oct 2018, 02:47
Solution Given:• An empty, cubeshaped swimming pool is completely filled with o x cubic feet of water, and o y cubic feet of chlorine To find:• Depth of the swimming pool in feet Approach and Working: • Volume of water = x \(ft^3\) • Volume of chlorine = y \(ft^3\) Let us assume that the depth of the pool is a ft • Then, the volume of the pool = \(a^3\) = volume of water + volume of chlorine
o Implies, \(a^3 = x + y\) o Thus, \(a = (x + y)^{1/3}\) Hence, the correct answer is Option C Answer: C
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