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 288Length 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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