Question

A cuboid measures 18 cm x 10 cm x 3 cm. How many cuboids of
dimensions 3 cm x 2 cm x 3 cm can be cut from it?
​

Answer 1

Answer:

We have the cuboid of dimensions 10cm×9cm×6cm

We are to find how many cubes with edge 3 cm can be cut from the given cuboid.

Let us cut this cuboid into following two cuboids

9cm×9cm×6cm

And

1cm×9cm×6cm

So, the number of cubes of sides 3 cm, that can be cut from the first cuboid,

⇒

3cm×3cm×3cm

9cm×9cm×6cm

=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.

Answer 2

Answer:

30 cuboids

Step-by-step explanation:

$volume \: of \: big \: cuboid \\ = (18 \times 10 \times 3) {cm}^{3} \\ volume \: of \: small \: cube \\ = (3 \times 2 \times 3) {cm}^{3} \\ no.of \: small \: cuboids \: in \: big \: cuboid \\ = \frac{volume \: of \: big \: cuboid}{volume \: of \: small \: cuboid} \\ = \frac{18 \times 10 \times 3}{3 \times 2 \times 3} \\ = \frac{18 \times 10 \times 3}{18} = 30$

I hope you are clear if not just comment and don't forget to mark my answer as the brainliest.