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If a cube has a volume of 64, what is its total surface area?

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If a cube has a volume of 64, what is its total surface area??  [#permalink]

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New post 05 Jul 2017, 11:22
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Re: If a cube has a volume of 64, what is its total surface area??  [#permalink]

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New post 05 Jul 2017, 11:28
1
carcass wrote:
If a cube has a volume of 64, what is its total surface area??

A) 16

B) 24

C) 48

D) 64

E) 96


Volume of cube \(= a^3\)

\(a^3 = 64\)

\(a = 4\)

Total Surface area of cube \(= 6a^2\)

Total Surface area of cube \(= 6(4^2) => 6(16) => 96\)

Answer (E)...


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Re: If a cube has a volume of 64, what is its total surface area??  [#permalink]

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New post 05 Jul 2017, 11:30
carcass wrote:
If a cube has a volume of 64, what is its total surface area??

A) 16

B) 24

C) 48

D) 64

E) 96



\(Volume of Cube = 64\)

\(Volume of Cube = (Side)^3\)

\((Side)^3 = 64\)

\(Side = 4\)

Surface Area of Cube \(= 6 * (Side)^2\)

Surface Area of Cube \(= 6 * 4^2\)

Surface Area of Cube \(= 6 * 16\)

Surface Area of Cube \(= 96\)

Hence, Answer is E
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Re: If a cube has a volume of 64, what is its total surface area??  [#permalink]

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New post 05 Jul 2017, 11:35
In order to solve this we need to know the formulae for a cube.
If a is the side of the cube, then the volume is \(a^3\)
Also, the total square area is \(6*a^2\)


From the question stem, we have the volume of a cube to be\(64(4^3)\)

Hence, the surface area of the cube is \(6*a^2\) = \(6*4^2\) = \(6*16\) =96(Option E)
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Re: If a cube has a volume of 64, what is its total surface area??  [#permalink]

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New post 06 Jul 2017, 07:28
carcass wrote:
If a cube has a volume of 64, what is its total surface area??

A) 16

B) 24

C) 48

D) 64

E) 96


\(a^3 = 64\)

So, \(a = 4\)

Total surface area is \(6a^2\) = \(6*4^2\) => \(96\)

Thus, the answer will be (E) 96
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Re: If a cube has a volume of 64, what is its total surface area??  [#permalink]

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New post 14 Jul 2017, 09:41
carcass wrote:
If a cube has a volume of 64, what is its total surface area??

A) 16

B) 24

C) 48

D) 64

E) 96


We can let n = the side of the cube and we have:

n^3 = 64

n = 4

Each face of the cube is 4^2 = 16 square units. Since a cube has 6 faces, the total surface area will thus be 6 x 16 = 96.

Answer: E
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Re: If a cube has a volume of 64, what is its total surface area?  [#permalink]

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New post 07 Dec 2017, 04:26
Volume, a*a*a = 64 => a=4
Total Surface Area, Area of one side * Number of sides = a*a*6 = 96.
Option E.
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Re: If a cube has a volume of 64, what is its total surface area?  [#permalink]

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New post 07 Dec 2017, 11:33
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Bunuel wrote:
If a cube has a volume of 64, what is its total surface area?

(A) 16
(B) 24
(C) 48
(D) 64
(E) 96


Formula used: Volume of cube = \(a^3\) | Total surface area of the cube = \(6*a^2\)

Given : a^3 = 64.
Taking cube root on both sides, a = 4

Therefore, the surface area of the cube is \(6*a^2 = 6*16 = 96\)(Option E)
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Re: If a cube has a volume of 64, what is its total surface area? &nbs [#permalink] 07 Dec 2017, 11:33
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