An empty, cube-shaped swimming pool is filled part way with x cubic fe

Question

An empty, cube-shaped 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 + y

B.  \frac{x + y}{3}

C.  \sqrt {x + y}

D.  (x + y)^3

E.  \frac{\sqrt {x+y}}{3}

Archit3110 · Answer

An empty, cube-shaped 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

hibobotamuss · Answer

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

Jayvnandu1991 · Answer

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

Bunuel · Answer

You are right. Edited. Thank you for noticing.

Kamola · Answer

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

chetan2u · Answer

I think now the answers have been edited and C is what you are looking at..

any other query please let me know

EgmatQuantExpert · Answer

Solution 
  Given:  
 • An empty, cube-shaped 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

https://e-gmat.com/blogs/wp-content/uploads/2016/12/Geometry-Ability-Quiz-4-e1480581478957.png

bumpbot · Answer

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An empty, cube-shaped swimming pool is filled part way with x cubic fe

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An empty, cube-shaped swimming pool is filled part way with x cubic fe

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