The number of cubes of side 3 cm that can be cut from a cuboid of dimensions `10 c m\ x\ 9c m\ x\ 6c m ,` is (a) 9 (b) 10 (c) 18 (d) 20

Explanation

Given the cuboid of dimension = `10cmxx9cmxx6cm`

When cut the edge of 3cm from the given cuboids.

Let us cut this cuboid into two cuboids=`9cmxx9cmxx6cm` and `1cmxx9cmxx6cm`

So, the number of cubes of sides 3 cm, that can be cut from the first cuboid: `(9cmxx9cmxx6cm/3cmxx3cmxx3cm)`=`18`

We can not cut a single cube of side 3 cm from the second cuboid of dimensions 1cm×9cm×6cm

Hence, this much volume is unless for us.

So, we can cut maximum 18 cubes of sides `3cm` from the cuboid of dimension `10cm×9cm×6cm`.

Hence, option(c) is correct.