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4. A cuboid is of dimensions \(60 cm \times 54 cm \times 30 cm\). How many small cubes with side 6 cm can be placed in the given cuboid?


Answer :

Given, Volume of the cuboid \((l \times b \times h )= 60 cm \times 54 cm \times 30 cm = 97200 cm^3\) and sie of cube=6cm
So, we have Volume of the cube= \((Side)^3= (6)^3 = 216 cm^3\)

We know, Number of the cubes from the cuboid=\(\frac{Volume\;of\;the\;cuboid}{volume\;of\;cube}\)

\(=\frac{97200}{216}=450\)

Hence, the required number of cubes=450

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