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Uday makes a cuboid of plasticine of side 3 cm, 5 cm and 3 cm. How many
cuboids will be need from a cube
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Answer:
Let
length of cubiod (l) = 3cm
Breath of cubiod (b) = 5cm
Height of cubiod (h) = 3cm
volume of cuboid = l×b×h
=3×5×3 =45cm ^3
Cube is a special form of cuboid with all sides equal .
side of biggest cube can be formed by joining each side of cuboid 3,5,3 is equal to LCM of sidea of cuboid.
Side of biggest cube = LCM of 3,5,3
= 15 ( prime numbers)
Volume of cube = side × side × side cm^3
= 15×15×15 =3375
Number of cuboids required to form a cube is
volume of biggest side of cube
= _________________________
volume of cuboid
= 3375
______
45
= 5×15
=75 cuboids
Hence no of cuboids required are 75.
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