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How do we calculate the surface area of a cube if we know the volume is 343?

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nadooosh | Student, Undergraduate | eNoter

Posted March 22, 2011 at 4:00 AM via web

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How do we calculate the surface area of a cube if we know the volume is 343?

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted March 22, 2011 at 4:03 AM (Answer #1)

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Given that the volume of the cube is 343

Let x be the length of the side of the cube.

Then we know that V = x^3 = 343

==> x = 7

Now let us calculate the surface are.

The surface area of the cube = area of one surface * 6

\==> The area of one of the surface = x^2 = 7^2 = 49

==> Then the surface area = 49* 6 = 294.

Then, the surface area of the cube is 294 square units.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 22, 2011 at 4:05 AM (Answer #2)

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The volume of a cube with sides of length L is given by L^3.

We have the volume of the cube as 343.

L^3 = 343

=> L^3 = 7^3

=> L = 7

The surface area of a cube of length L is 6*L^2. As L = 7, the surface area is 6*7^2 = 6*49 = 294 square units.

The required surface area is 294 square units.

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kpop5 | Student, Grade 9 | eNotes Newbie

Posted March 22, 2011 at 6:14 AM (Answer #3)

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X*Y*Z=343

X*Y*2=2 surfaces

X*Z*2=2 surfaces

Y*Z*2=2 surfaces

 

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Yojana_Thapa | Student, Grade 10 | Valedictorian

Posted February 23, 2014 at 3:49 PM (Answer #4)

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volume is 343

x^3=343

x=7

Volume = l * w* h

l = 7 w=7 h=7

Formula to find the surface area of a cube is 6 a2

6 (7)^2

294 square units!

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