kevin made a wooden box. length, breadth and height of the wooden box is 8cm, 16cm, 8cm. If he wants to make a cube using such wooden cuboides , then the minimum number of such of cuboid required is _____ .
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Step-by-step explanation:
A cuboid of measurements 8cm, 16cm and 8cm will have a volume equal to 216 cm ,cube.
Volume of cube will be equal to X cm cube if it’s length is X.
Now in order to find no. of cuboids needed to form a cube, the sum of their lengths, breadths and heights must be equal to the length of Cube.
Length of each edge of cube = L.C.M. of 8 cm. ,
16 cm . and 8 cm.. i,e 16cm.
Numbers of cuboids =(Volume of cube )/(Volume of cuboid).
=(16 cm ×16cm ×16 cm)/(8 cm ×16 cm ×8 cm).
=4 cuboids
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