Question

A cuboid is of dimensions 60 cm $\times$ 54 cm $\times$ 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

• A. 400
• B. 460
• C. 425
• D. 450

Answer 1

The correct option is D 450

Given : Length of cuboid (l) = 60 cm, Breadth of cuboid (b) = 54 cm and
Height of cuboid (h) = 30 m
We know that, volume of cuboid = $l\times b\times h=60\times 54\times 30c{m}^2$
And Volume of cube = $(side{)}^3=6\times 6\times 6c{m}^3$
$\therefore \text{Number of small cubes}=\frac{Volumeofcuboid}{Volumeofcube}=\frac{60\times 54\times 30}{6\times 6\times 6}=450$
Hence 450 cubes can be placed in the cuboid.