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

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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.

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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]
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.
Re: Cube X has surface are s square centimeters and volume v cubic centime [#permalink]
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