how many cuboids of dimensions 3meters 4 meters and 5meters are required to form the smallest perfect cube
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The volume of the cuboid (in cubic centimeters) = (8 x 6 x 8) cu cm
The cube is formed by stacking many such cuboids and it will have side
lengths which are multiple of 8, 6, and 8 cm.
The smallest such cube will have a side length of LCM(8, 6, 8) = 24 cm
and a volume (in cubic cm) of (24 x 24 x 24) cu cm.
Number of cuboids of volume (8 x 6 x 8) cu cm that will fit into a
cube of volume (24 x 24 x 24) cu cm.
= (24 x 24 x 24) / (8 x 6 x 8)
= 36.
Therefore, Shruthi needs 36 cuboids to make a perfect cube.
The volume of the cuboid (in cubic centimeters) = (8 x 6 x 8) cu cm
The cube is formed by stacking many such cuboids and it will have side
lengths which are multiple of 8, 6, and 8 cm.
The smallest such cube will have a side length of LCM(8, 6, 8) = 24 cm
and a volume (in cubic cm) of (24 x 24 x 24) cu cm.
Number of cuboids of volume (8 x 6 x 8) cu cm that will fit into a
cube of volume (24 x 24 x 24) cu cm.
= (24 x 24 x 24) / (8 x 6 x 8)
= 36.
Therefore, Shruthi needs 36 cuboids to make a perfect cube.
farsa:
dis method is showing wrong answer
its answer is 450
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