Question

A ca cuboid is of dimensions 16 centimetre multiply 54 CM multiply 30 cm how many small cubes with side 6 CM can be placed in the given cuboid​

Answer 1

$\huge\underline\bold\color{red}\mathfrak{Answer}$

The length, breadth and height of the cuboid are 16 cm, 54 cm and 30 cm respectively.

We know that,

Volume of cuboid = l×b×h

Substituting the values in the equation,

Volume = 16×54×30

Volume = 25920 cm³

Now,

Volume of cube = a³

Side of the cube = 6 cm

Therefore,

Volume = 6³ = 216 cm³

1 cube takes 216 cm³,

Let x cubes take 25920 cm³

So no. of cubes = 25920/216 = 120

Therefore 120 cubes are required to place it in the cuboid.

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