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Question

How many cubical boxes of side 2 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
288
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B
218
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C
268
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D
248
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Solution

The correct option is A 288
Length of cuboid l = 24 cm.
Breadth of cuboid b = 12 cm.
Height of cuboid h = 8 cm.
Number of cubes that can be cut along the length
= 242=12 ...(i)
Number of cubes that can be cut along the breadth
= 122=6 ...(ii)
Number of cubes that can be cut along the height
= 82=4 ...(iii)
From (i),(ii) and (iii),
total number of cubes can be cut =12×6×4 =288

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