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Question

A cuboid measures 36m×24m×18m. How many cubes of edge 6 m can be cut from the cuboid?

A
72
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B
144
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C
36
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D
288
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Solution

The correct option is A 72
Given, l=36m, b=24m and h=18m.
Volume of cuboid =l×b×h
=36×24×18=15552 m3.

Given, a=6m.
Volume of cube =a3
=6×6×6=216 m3.

Let the number of cubes be x.
Then,
216×x=15552

x=15552216

x=72.

Therefore, 72 cubes can be cut.

Hence, option A is correct.

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