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Question

How many cubes of side 4 cm each can be cut from wooden block in the form of a cuboid whose length, breadth and height are 24 cm, 12 cm and 8 cm respectively.

A
36
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B
38
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C
42
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D
40
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Solution

The correct option is A 36
Length of cuboid (l) = 24 cm
Breadth of cuboid (b) = 12 cm
Height of cuboid (h) = 8 cm
No. of cubes that can be cut along the length = 244=6
No. of cubes that can be cut along the breadth = 124=3
No. of cubes that can be cut along the height = 84=2
So, total number of cube can be cut =6×3×2 =36

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