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Approximately 90 percent of the volume of a certain cube that is float 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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Approximately 90 percent of the volume of a certain cube that is float Updated on: 22 May 2020, 09:49
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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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.
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Approximately 90 percent of the volume of a certain cube that is float 22 May 2020, 08:52
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gvij2017
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.
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Please check a must be = 4
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Approximately 90 percent of the volume of a certain cube that is float 22 May 2020, 08:56
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Bunuel
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
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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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Approximately 90 percent of the volume of a certain cube that is float 22 May 2020, 09:22
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Bunuel
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
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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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Approximately 90 percent of the volume of a certain cube that is float 22 May 2020, 09:50
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Thanks!

Corrected the error.

Abhishek009
gvij2017
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 28 May 2020, 16:42
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Bunuel
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


Show more

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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Approximately 90 percent of the volume of a certain cube that is float 26 Feb 2022, 08:55
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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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Approximately 90 percent of the volume of a certain cube that is float 03 Nov 2023, 15:28
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