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A solid cuboid is melted to form a number of cubes. If the length, breadth and height of a cuboid are 20 cm, 16 cm and 8 cm, and the edge of each cube
Question

A solid cuboid is melted to form a number of cubes. If the length, breadth and height of a cuboid are 20 cm, 16 cm and 8 cm, and the edge of each cube is 4 cm, then the number of cubes is:

A.

50

B.

44

C.

40

D.

48

Correct option is C

The length, breadth, and height of a cuboid are 20 cm, 16 cm and 8 cm.
The edge of each cube is 4 cm.
In both of the cases, volume should be the same.
Volume of cuboid = length × breadth × height
According to the question,
Let the number of cube are N
20 × 16 × 8 = N × 43
N = 5 × 4 × 2
N = 40

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