Question:
Tick (✓) the correct answer:
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?
(a) 10
(b) 100
(c) 1000
(d) 10000
Solution:
(c) 1000
Volume of the smaller cube $=(10 \mathrm{~cm})^{3}=1000 \mathrm{~cm}^{3}$
Volume of box $=(100 \mathrm{~cm})^{3}=1000000 \mathrm{~cm}^{3} \quad[1 \mathrm{~m}=100 \mathrm{~cm}]$
$\therefore$ Total no. of cubes $=\frac{100 \times 100 \times 100}{10 \times 10 \times 10}=1000$