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Approximately 90 percent of the volume of a certain cube that is float

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Bunuel
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Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   22 May 2020, 08:35
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Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the surface. If 6.4 cubic centimeters of the cube is above the surface of the water, what is the approximate length, in centimeters, of an edge of the cube?

A. 10
B. 8
C. 6
D. 4
E. 2


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D
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gvij2017
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Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   Updated on: 22 May 2020, 09:49
6.4 = volume above water surface = (100-90% = 10% of cubic volume.)

Total volume = 64 = a^3 where a is side of cube.

a= 4
D is answer.

Originally posted by gvij2017 on 22 May 2020, 08:48.
Last edited by gvij2017 on 22 May 2020, 09:49, edited 1 time in total.
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Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   22 May 2020, 08:52
gvij2017 wrote:
6.4 = volume above water surface = (100-90% = 10% of cubic volume.)

Total volume = 64 = a^3 where a is side of cube.

a= 8
B is answer.


Please check a must be = 4
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Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   22 May 2020, 08:56
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Bunuel wrote:
Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the surface. If 6.4 cubic centimeters of the cube is above the surface of the water, what is the approximate length, in centimeters, of an edge of the cube?

A. 10
B. 8
C. 6
D. 4
E. 2


PS21155


10% of cube volume = 6.4

Volume of Cube = \(Side^3\)

i.e. \((10/100)*a^3 = 6.4\)

i.e. \(a^3 = 64\)
i.e. a ≈ 4

Answer: Option D
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Re: Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   22 May 2020, 09:22
Bunuel wrote:
Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the surface. If 6.4 cubic centimeters of the cube is above the surface of the water, what is the approximate length, in centimeters, of an edge of the cube?

A. 10
B. 8
C. 6
D. 4
E. 2


PS21155


area of exposed part of cube
10/100 * x = 6.4
x = 64
x is area so x ^3 = 64 ; x= 4 ( edge length)
option D ;
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Re: Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   22 May 2020, 09:50
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Thanks!

Corrected the error.

Abhishek009 wrote:
gvij2017 wrote:
6.4 = volume above water surface = (100-90% = 10% of cubic volume.)

Total volume = 64 = a^3 where a is side of cube.

a= 8
B is answer.


Please check a must be = 4
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Re: Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   28 May 2020, 16:42
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Bunuel wrote:
Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the surface. If 6.4 cubic centimeters of the cube is above the surface of the water, what is the approximate length, in centimeters, of an edge of the cube?

A. 10
B. 8
C. 6
D. 4
E. 2




We see that 6.4 cubic cm of the cube is 10% of the volume of the cube. Therefore, the volume of the entire cube is 64 cubic cm, and hence its edge is 3^√64 = 4.

Answer: D
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Re: Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   26 Feb 2022, 08:55
If 90% of a cube is below the surface, then 10% of the cube is above the surface.

So 10% of the volume of the cube is equal to 6.4 cubic centimeters.

Recall that the volume of a cube is its edge (A) cubed (Aexp3).

Then:

(10/100) x Aexp3 = 6.4
Aexp3 = 6.4 x 10

So A = the cube root of (6.4 x 10)
= cube root of (64)


Then: 4 x 4 x4 = 64

A = 4

Answer D
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Re: Approximately 90 percent of the volume of a certain cube that is float [#permalink] New post   03 Nov 2023, 15:28
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Re: Approximately 90 percent of the volume of a certain cube that is float [#permalink]
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