A solid metal cuboid in shape, has dimension 12cm ,16cm and 9cm. lt is

1.	A solid metal cuboid in shape, has dimension 12cm ,16cm and 9cm. lt is melted into identical cubes of side 4cm . Find the number of cubes obtained.
Answer» ANSWER: $\large\boxed{\sf{<klux>27</klux>}}$ Step-by-step explanation: Given that there is a metal CUBOID. The dimensions of cuboid are :- Length, l = 16 cm Breadth, b = 12 cm Height, h = 9 cm Now, we know that, Volume of cuboid = lbh => V = ( 16 × 12 × 9 ) cubic cm It is MELTED into identical cubes. Side of cube = 4 cm Volume of cube = side × side × side => v = (4 × 4 × 4) cubic cm Now, to find the number of cubes, No. of cubes, n = V/v => n = (16 × 12 × 9) / (4 × 4 × 4) => n = 12 × 9/4 => n = 3 × 9 => n = 27 Hence, number of cubes obtained = 27.

A solid metal cuboid in shape, has dimension 12cm ,16cm and 9cm. lt is melted into identical cubes of side 4cm . Find the number of cubes obtained.

Answer»

$\large\boxed{\sf{<klux>27</klux>}}$

Step-by-step explanation:

Given that there is a metal CUBOID.

The dimensions of cuboid are :-

Now, we know that,

Volume of cuboid = lbh

=> V = ( 16 × 12 × 9 ) cubic cm

It is MELTED into identical cubes.

Side of cube = 4 cm

Volume of cube = side × side × side

=> v = (4 × 4 × 4) cubic cm

Now, to find the number of cubes,

No. of cubes, n = V/v

=> n = (16 × 12 × 9) / (4 × 4 × 4)

=> n = 12 × 9/4

=> n = 3 × 9

=> n = 27

Hence, number of cubes obtained = 27.