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the surface area of the cube?

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by sanju09 » Fri Nov 04, 2011 4:55 am
The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3. What is the surface area of the cube?
(A) 16 square units
(B) 24 square units
(C) 64 square units
(D) 96 square units
(E) 144 square units
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by neelgandham » Fri Nov 04, 2011 5:00 am
Volume of a cube of side a = a*a*a cubic units
Surface area of the same cude = 6*a*a square units

From the question (a*a*a)/(6*a*a) = 2/3 => a/6=2/3 => a = 4
Surface area of the same cude = 6*a*a square units = [spoiler]6*4*4 = 96 square units[/spoiler] IMO Option D
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by Anurag@Gurome » Fri Nov 04, 2011 5:51 am
sanju09 wrote:The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3. What is the surface area of the cube?
(A) 16 square units
(B) 24 square units
(C) 64 square units
(D) 96 square units
(E) 144 square units
Let each side of the cube = s units
Then volume of cube = s^3
Surface area of cube = 6s^2
Volume of cube : Surface area of cube = s^3 : 6s^2 = 2 : 3
s : 6 = 2 : 3 implies s = 4
Therefore, Surface area of cube = 6 * (4 ^ 2) = 6 * 16 = 96 sq units

The correct answer is D.
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by vaibhavgupta » Sat Nov 05, 2011 8:53 am
sanju09 wrote:The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3. What is the surface area of the cube?
(A) 16 square units
(B) 24 square units
(C) 64 square units
(D) 96 square units
(E) 144 square units
First looked at ratios. all of them divisible by 3 are to be left.
then chose d cos the other one has to be a cube!

Hence D it is!
If OA is A, IMO B
If OA is B, IMO C
If OA is C, IMO D
If OA is D, IMO E
If OA is E, IMO A

FML!! :/
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