Answer:
It would take 64 1-cm cubes to construct a 4-cm cube.
Explanation:
The volume of a cube is equal to the edge raised to the power of 3.
A 1-cm edge cube has a volume of V₁ = (1 cm)³= 1 cm³
A 4-cm edge cube has a volume of V₄ = (4 cm)³= 64 cm³
The number of small cubes required to fill the same volume than the big cube is:
[tex]\frac{V_{4}}{V_{1}} =\frac{64 cm^{3} }{1cm^{3} } =64[/tex]
