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A cube has a surface area of fifty-four square centimeters. What is the volume of the...

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hadeelhadool | Student, Grade 11 | eNoter

Posted June 22, 2010 at 7:23 AM via web

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A cube has a surface area of fifty-four square centimeters. What is the volume of the cube?

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

Posted June 22, 2010 at 7:28 AM (Answer #1)

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The surface area of a cube =54 cm^2

Since the cube has 6 faces, then the surface area of one of the faces = 54/6= 9

Then the area of one of the squares=9

Then the side of the cube= sqrt9 =3

Then the volume (v) = side^3 = 3^3= 27 cm^3

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brianevery | High School Teacher | (Level 2) Adjunct Educator

Posted June 22, 2010 at 7:29 AM (Answer #2)

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A cube has 6 sides, so each side must have an area of 9 (54/6=9) the area of a side is found by multiplying the length of two edges together, so the length of one edge must be sqrt(9) which equals 3 (3*3=9) the volume of a cube is found by multiplying the length, width, and height together, which in this case are all the same 3*3*3 = 3^3 = 27 cubic centimeters.

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