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Cube X has surface are s square centimeters and volume v cubic centime

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Bunuel
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Cube X has surface are s square centimeters and volume v cubic centime [#permalink] New post  23 May 2020, 08:56
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Cube X has surface are s square centimeters and volume v cubic centimeters. What is the value of v ?

(1) s = 216
(2) v = s


DS20483
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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink] New post  23 May 2020, 09:04
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Let side of cube is a
V=a^3
S =6a^2
From statement 1
S=216
Sufficient
From statement 2
a^3 =6a^2
a=6
Sufficient
Answer is D

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yashikaaggarwal
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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink] New post  23 May 2020, 09:05
Answer is D
Surface area: 6a^2=S
Volume: a^3

Statement 1: S = 216
S = 6a^2 = 216
A^2= 36
A=6
Volume V = A^3 = 6^3 = 216 (sufficient)

Statement 2: S=V
6A^2=A^3
6=A
Volume V = A^3 = 6^3 = 216 (sufficient)

Answer is D

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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink] New post  27 Nov 2020, 15:00
Bunuel wrote:
Cube X has surface are s square centimeters and volume v cubic centimeters. What is the value of v ?

(1) s = 216
(2) v = s


DS20483


surface area = 6x^2
volume = x^3

What is the volume?

(1) \(216 = 6x^2\)
\(6 = x\)
volume = \(6^3 = 216\)

SUFFICIENT.

(2) \(v = s\)
\(x^3 = 6x^2\)
\(x = 6\)
\(6^3 = 216\)

SUFFICIENT.

Answer is D.
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Cube X has surface are s square centimeters and volume v cubic centime [#permalink] New post  16 Jul 2022, 19:31
Hi,

In statement 2

\(6a^2=a^3\) -->\( a^2(a-6)=0\) --> \(a=0\) or \(a=6.\)

I know it's silly but my question is why are we not taking \(a=0\)
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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink] New post  20 Jul 2023, 10:58
stoned wrote:
Hi,

In statement 2

\(6a^2=a^3\) -->\( a^2(a-6)=0\) --> \(a=0\) or \(a=6.\)

I know it's silly but my question is why are we not taking \(a=0\)


Bunuel, can you please explain the above query?
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Bunuel
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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink] New post  20 Jul 2023, 11:06
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vivek1810971 wrote:
stoned wrote:
Hi,

In statement 2

\(6a^2=a^3\) -->\( a^2(a-6)=0\) --> \(a=0\) or \(a=6.\)

I know it's silly but my question is why are we not taking \(a=0\)


Bunuel, can you please explain the above query?


Simply put, it doesn't make sense to talk about a cube with a side length of 0.
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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink]
20 Jul 2023, 11:06
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