How many cuboids required to form a cube?
kinkyMkye:
depends on the sides
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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 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.
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consider the a, b, c to sides
LCM³ (a, b,c)/a*b*c
LCM³ (a, b,c)/a*b*c
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