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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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05 Jul 2017, 11:22
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Question Stats:

91% (00:38) correct 9% (00:49) wrong based on 47 sessions

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

A) 16

B) 24

C) 48

D) 64

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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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 $$= 6(4^2) => 6(16) => 96$$

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

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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 $$= 96$$

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

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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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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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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.

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

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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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07 Dec 2017, 11:33
1
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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