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If a cube has a volume of 64, what is its total surface area??
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05 Jul 2017, 11:22
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Re: If a cube has a volume of 64, what is its total surface area??
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05 Jul 2017, 11:28
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 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??
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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 \(= 96\) Hence, Answer is E
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Re: If a cube has a volume of 64, what is its total surface area??
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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??
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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??
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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. Answer: E
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Re: If a cube has a volume of 64, what is its total surface area?
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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?
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07 Dec 2017, 11:33
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
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