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  • If the surface area of a cube is 2166 cm square,find 1-The length of a diagonal 2-Volume of the cube

If the surface area of a cube is 2166 cm square,find 1-The length of a diagonal 2-Volume of the cube

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Let the length of the edge of the given cube be a cm.
Surface area of the cube=6a2 cm2 
According to the given,6a^2=2166Rightarrow a^2=361Rightarrow a=sqrt361=19

  1. The length of the diagonal of the cube=sqrt3, a, cm=19sqrt3, cm
                                                                =(19 imes1.73)cm=32.9, cm
  2. The volume of the cube=a3 cm3 
                                         =(19 imes19 imes19)cm^3=6859, cm^3
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Deependra Verma

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