Maths-
General
Easy

Question

Find out the side of cube if the complete surface area is given to be 346.56 cm2.

  1. 6.7
  2. 7.6
  3. 5.6
  4. 8.6

hintHint:

 Total Surface Area of Cube: The total surface area of a cube refers to the total area covered by all six faces of a cube. To calculate the surface of a cube, we find the sum of the areas of these 6 faces.
Surface Area = 6a2
where a is the side of cube

The correct answer is: 7.6


    • Step 1:We have given the total surface area of the cube.

    Area = 346.56 cm2

    • Step 2: We know that
    Surface Area = 6a2
                                                                                   346.56 = 6a2
    • ·          Step 3: For finding the side firstly divide both sides if equation by 6
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell fraction numerator 346.56 over denominator 6 end fraction equals a squared end cell row cell 57.76 equals a squared end cell end table
    • Step 4:- Taking square root of both sides we get,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell square root of 57.76 end root equals a end cell row cell 7.6 equals a end cell end table
    • ·          Step 5: Therefore, the length of side of the given cube is 7.6 cm2.
      • Therefore, the correct answer is option B) 7.6 cm.

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