Question

How many 1-cm cubes would it take to construct a cube that is 4 cm on edge? Express your answer using two significant figures.

Answer 1

It would take 64 1-cm cubes to construct a 4-cm cube.

Step-by-step 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:

`(V_(4))/(V_(1)) =(64 cm^(3) )/(1cm^(3) ) =64`