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A certain clay cube has volume 64 cubic inches. If a smaller

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Luning1
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A certain clay cube has volume 64 cubic inches. If a smaller [#permalink] New post  07 Feb 2014, 16:47
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A certain clay cube has volume 64 cubic inches. If a smaller clay cube is formed and has half the volume of the original cube, how many inches long is an edge of the smaller cube?

A. 2
B. 4
C. 8
D. \(\sqrt[3]{4}\)
E. \(2 \sqrt[3]{4}\)
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kundankshrivastava
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Re: A certain clay cube has volume 64 cubic inches. [#permalink] New post  19 May 2014, 10:47
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Volume of first cube = 64 cubic inches
Volume of Second cube = Half of First cube's volume = 64/2 = 32 cubic inches
Now volume of a cube = edge^3
hence, edge = volume^(1/3)
In this case, edge = 32^(1/3) = 2* (4)^(1/3) hence E
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Re: How do you solve this [#permalink] New post  09 Feb 2014, 21:21
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Luning,
Is this a GMAT question that you are referring to?

At GMAT Pill, we first try to set up the question.

So x*x*x = 64
x^3 = 64
So that means x = 4.

But now you're saying the volume is split in half. So the volume must now be divided by 2...how do we find the length?

So you should take 64 and split it in half to get 32. But the length still needs to be cubed to get to 32.
So use a variable y and say y^3 = 32.

You can solve for y to get your answer.
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A certain clay cube has volume 64 cubic inches. If a smaller [#permalink] New post  19 May 2014, 23:55
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Hope this helps.
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kundankshrivastava
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Re: A certain clay cube has volume 64 cubic inches. If a smaller [#permalink] New post  21 May 2014, 10:27
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Volume of cube A/Volume of cube B = [Side of cube A/ side of cube B] ^3

here Volume of Cube A = 64
Volume of Cube B = half of 64 = 32
side of cube A = 64^(1/3) = 4
side of cube B = x

putting values

(64/32) = (4/x)^3

2^(1/3) = 4/x
x = 4/2^(1/3) = 2^2/2^(1/3) = 2^(5/3) =2*2^(2/3) =2 * cubic root (4)

Hence Answer is E
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Re: A certain clay cube has volume 64 cubic inches. If a smaller [#permalink] New post  30 Sep 2017, 21:48
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Luning1 wrote:
A certain clay cube has volume 64 cubic inches. If a smaller clay cube is formed and has half the volume of the original cube, how many inches long is an edge of the smaller cube?

A. 2
B. 4
C. 8
D. \(\sqrt[3]{4}\)
E. \(2 \sqrt[3]{4}\)


Volume of cube = 64 in^3
Volume of smaller cube = 32 in^3

So side of smaller cube = \(\sqrt[3]{32}\) = \(2 \sqrt[3]{4}\)

Answer E
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A certain clay cube has volume 64 cubic inches. If a smaller [#permalink] New post  27 May 2020, 05:24
Volume of cube = 64
volumne of smaller cube= 64/2 = 32

side of smaller cube = ?
formulae of volume of cube = side^3
32 = side^3
side = 2 3√2 (2*2*2*2*2)

ANSWER E
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Re: A certain clay cube has volume 64 cubic inches. If a smaller [#permalink] New post  19 Jul 2020, 03:49
Luning1 wrote:
A certain clay cube has volume 64 cubic inches. If a smaller clay cube is formed and has half the volume of the original cube, how many inches long is an edge of the smaller cube?

A. 2
B. 4
C. 8
D. \(\sqrt[3]{4}\)
E. \(2 \sqrt[3]{4}\)



Volume of cube=(side)^3

Volume of original cube= (s)^3=64

Volume of new cube= (n)^3=32.
Edge of the cube(n)=\sqrt[3]{32}= [m]2 \sqrt[3]{4}[/m
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Re: A certain clay cube has volume 64 cubic inches. If a smaller [#permalink] New post  14 Sep 2023, 13:54
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Re: A certain clay cube has volume 64 cubic inches. If a smaller [#permalink]
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