If the volume of cube A is twice that of cube B, the side of

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If the volume of cube A is twice that of cube B, the side of [#permalink]

22 Jul 2007, 09:51

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If the volume of cube A is twice that of cube B, the side of cube A is how many time that of cube B?

1) 1/2
2) cubed rt(2)
3) 3*cubed rt(2)
4) 2
5) 8

OA to follow.
:?:

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Re: PS: Volume of a cube [#permalink]

22 Jul 2007, 10:45

jimmyjamesdonkey wrote:

If the volume of cube A is twice that of cube B, the side of cube A is how many time that of cube B?

1) 1/2
2) cubed rt(2)
3) 3*cubed rt(2)
4) 2
5) 8

OA to follow.
:?:

side of cube A = a
side of cube B = b

a^3 = 2 * b^3
a = cubed rt(2) * b

Hence, B.

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22 Jul 2007, 10:54

B is correct, incorrect approach to solve.

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22 Jul 2007, 11:01

Nevermind - misread your answer. You got it.

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Re: PS: Volume of a cube [#permalink]

23 Jul 2007, 19:13

jimmyjamesdonkey wrote:

If the volume of cube A is twice that of cube B, the side of cube A is how many time that of cube B?

1) 1/2
2) cubed rt(2)
3) 3*cubed rt(2)
4) 2
5) 8

OA to follow.
:?:

B : This looked like a plain vanilla. Was there any trick involved??

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23 Jul 2007, 19:17

Let side of cube A be x, side of cube B be y

Volume of A = x^3
Volue of B = y^3

x^3 = 2y^3
x = 2^1/3(y)

So the side of A is cube root (2) of B

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23 Jul 2007, 21:02

ywilfred is correct:

X = one cube
Y = second cube

x^3 = y^3*2 ---> (one volume is twice the other volume)

3sqrt(2)^3 = 2

x^3 = y^3*3sqrt(2)^3

x^3 = (y*3sqrt(2))^3 ---> the same way that 2^2*3^2 = 6^2

x = y*3sqrt(2)

the answer is (B) = cubed rt(2) = 3sqrt(2)

:-D

[#permalink] 23 Jul 2007, 21:02

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If the volume of cube A is twice that of cube B, the side of

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If the volume of cube A is twice that of cube B, the side of

If the volume of cube A is twice that of cube B, the side of

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