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Sub 505 (Easy)|   Geometry|            
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If a cube has a volume of 64, what is its total surface area? 05 Jul 2017, 12:22
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E
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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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E
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If a cube has a volume of 64, what is its total surface area? 05 Jul 2017, 12:28
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carcass
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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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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If a cube has a volume of 64, what is its total surface area? 05 Jul 2017, 12:30
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carcass
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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\(Volume of Cube = 64\)

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

\((Side)^3 = 64\)

\(Side = 4\)

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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If a cube has a volume of 64, what is its total surface area? 05 Jul 2017, 12:35
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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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If a cube has a volume of 64, what is its total surface area? 06 Jul 2017, 08:28
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carcass
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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\(a^3 = 64\)

So, \(a = 4\)

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

Thus, the answer will be (E) 96
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If a cube has a volume of 64, what is its total surface area? 14 Jul 2017, 10:41
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carcass
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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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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If a cube has a volume of 64, what is its total surface area? 07 Dec 2017, 05:26
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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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If a cube has a volume of 64, what is its total surface area? 07 Dec 2017, 12:33
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Bunuel
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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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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If a cube has a volume of 64, what is its total surface area? 03 Jun 2023, 06:16
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The volume of a cube is given by the formula V = s^3, where V is the volume and s is the length of an edge.

In this case, we are given that the volume of the cube is 64, so we can set up the following equation:

64 = s^3

To find the length of an edge, we can take the cube root of both sides of the equation:

s = ∛64

Simplifying, we have:

s = 4

Now, to find the total surface area of the cube, we can use the formula:

Surface area = 6s^2 = 6(4^2) = 6(16) = 96

Therefore, the total surface area of the cube is 96 square units, which corresponds to option (E).
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If a cube has a volume of 64, what is its total surface area? 04 Dec 2024, 14:43
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