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# If the volume of a cube with side of length 6 is equal to the volume

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Math Expert
Joined: 02 Sep 2009
Posts: 58421
If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

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30 Nov 2017, 22:53
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Difficulty:

15% (low)

Question Stats:

89% (00:54) correct 11% (01:07) wrong based on 48 sessions

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If the volume of a cube with side of length 6 is equal to the volume of a rectangular solid with length 12 and width 9, then the height of the rectangular solid is

(A) 2
(B) 4
(C) 6
(D) 8
(E) 9

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Re: If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

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30 Nov 2017, 23:01
A

Volume of cube = 6*6*6

Let h be the height of the rectangular solid.
Volume of rectangular solid = 12*9*h.

As both are equal we can equate.

Hence h=216/(9*12)
=2

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Re: If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

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19 Mar 2018, 06:44
Bunuel wrote:
If the volume of a cube with side of length 6 is equal to the volume of a rectangular solid with length 12 and width 9, then the height of the rectangular solid is

(A) 2
(B) 4
(C) 6
(D) 8
(E) 9

The volume of the cube with a side length of 6 is 6 x 6 x 6.

If we let the height of the rectangular solid = h, then we have:

6 x 6 x 6 = 12 x 9 x h

216 = 108h

2 = h

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Re: If the volume of a cube with side of length 6 is equal to the volume  [#permalink]

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30 Dec 2018, 09:59
Cube is 6*6*6 while rectangular solid is 12*9*x
We can see that using prime factoring 12*9 gives us 6*6*3
therefore, we need x = 2 to make the last 6
Re: If the volume of a cube with side of length 6 is equal to the volume   [#permalink] 30 Dec 2018, 09:59
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