Question

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 1

Answer:

27

Step-by-step explanation:

volume of cuboid=l*b*h

=12*16*9

=1728

after melting cuboid

volume of cuboid= volume of cube

volume of cube=4³

1728. =4*4*4

1728/64 =27

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Answer 2

Answer:

$\large\boxed{\sf{27}}$

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.