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General
Easy

Question

A so lid piece of metal in the form of a Cuboid of dimes ions 24 cm x 18 cm x 4 cm is melted down and casted into a cube Find length of each edge of cube.

  1. 12 cm    
  2. 22 cm    
  3. 20 cm    
  4. none of these    

hintHint:

We are given the dimensions of solid metal piece of cuboid. It is melted and converted into a cube. We have to find the dimensions of the cube. This question is about volume of cuboid. Even when the shape is changed the volume remains constant.

The correct answer is: 12 cm


    The dimensions of the solid piece of metal are 24cm × 18cm × 4cm.
    It is melted and converted into a cube. So, we can that the volume of the solid piece of metal is constant.
    We are asked to find the dimensions of a cube formed from the metal piece.
    We will first find the volume of cuboid.
    Volume = length × breadth × height
    = 24 × 18 × 4
    = 1728 cu. cm
    Let’s us consider the side of cube to be “x”.
    Volume of cube = (side)3
    = x3
    Comparing both the volumes
    x= 1728
    Taking cube roots
    x = 12 cm
    Therefore, the length of the cube is 12 cm.

    For such questions, we should know formula of volumes of different shapes.

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