Question

How many cubes of side 2 cm will be needed to make a cube of side 20 cm?

Answer 1

Volume of cube with side 20 cm = (side)³ = (20)³ cm³
= 8000 cm³
Volume of cube with side 2 cm = (side)³ = (2)³ cm³
= 8 cm³
The number of cubes of side 2 cm that can be drawn out a cube of side 20 cm can be calculated as:
Number of cubes$=\frac{\mathrm{volume}\mathrm{of}\mathrm{cube}\mathrm{of}\mathrm{side}20\mathrm{cm}}{\mathrm{volume}\mathrm{of}\mathrm{cube}\mathrm{of}\mathrm{side}2\mathrm{cm}}$
$=\frac{8000{\mathrm{cm}}^3}{8{\mathrm{cm}}^3}=1000$

Thus, 1000 cubes of side 2 cm can be drawn out of a cube of side 20 cm.