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Cube X has surface are s square centimeters and volume v cubic centime [#permalink]
Bunuel
Cube X has surface area 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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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink]
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]
stoned
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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Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink]
Expert Reply
vivek1810971
stoned
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.
GMAT Club Bot
Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink]
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