a metallic cuboid of dimensions 60cm,40cm and 20cm is melted and made into cubes of 2cm side.how many such cubes can be made
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Compare the volumes of cuboid and 1 cube
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length of cuboid , l = 60 cm
breadth of cuboid, b = 40 cm
height of cuboid, h = 20 cm
volume of cuboid = l × b × h = 60 × 40 × 20 = 48000 cm3
side of each new cube, s = 2 cm
volume of each new cube = s3 = 23 = 8 cm3
the number of cube that can be made up of the cuboid= volume of (cuboid)/volume of each new (cube)
= 48000/8
= 6000 cubes
breadth of cuboid, b = 40 cm
height of cuboid, h = 20 cm
volume of cuboid = l × b × h = 60 × 40 × 20 = 48000 cm3
side of each new cube, s = 2 cm
volume of each new cube = s3 = 23 = 8 cm3
the number of cube that can be made up of the cuboid= volume of (cuboid)/volume of each new (cube)
= 48000/8
= 6000 cubes
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