Question

The internal length, breadth and height of a box are $30cm,24cm,$ and $15cm$. Find the largest number of cubes which can be placed inside this box if the edge of each cube is $3cm$.

Answer 1

Internal length $=30cm$,
breadth $=24cm$
and height of a box $=15cm$
Edge of each cube is $3cm$
Number of cubes which can be placed along length $=\frac{30}{3}=10$
No. of cubes along the breadth $=\frac{24}{3}=8$,
and no. of cubes along the height $=\frac{15}{3}=5$
No of cubes
$N=(10\times 8\times 5)$
$N=400$
Hence, the number of cubes $=400$