Acuboid is of length 4.2 m, breadth 1.4 m, and height 1.2 m. find the number of cubes, each of edge

Acuboid is of length 4.2 m, breadth 1.4 m, and height 1.2 m. find the number of cubes, each of edge 20 cm, that can be cut from the cuboid

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  1. Step-by-step explanation:

    l= 4.2 m = 4.2 * 100 = 420 cm

    b = 1.4 m = 1.4*100 = 140 cm

    h =1.2 m =1.2 *100 =120 cm

    Volume of cuboid = l*b*h =  420 * 140 * 120  = 705600 cubic cm

    Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm

    No.of cubes = Volume of cuboid / volume of cube

          = 705600 / 8000 = 882 cubes

    or  420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes

  2. l= 4.2 m = 4.2 * 100 = 420 cm

    b = 1.4 m = 1.4*100 = 140 cm

    h =1.2 m =1.2 *100 =120 cm

    Volume of cuboid = l*b*h =  420 * 140 * 120  = 705600 cubic cm

    Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm

    No.of cubes = Volume of cuboid / volume of cube

          = 705600 / 8000 = 882 cubes

    or  420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes

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