Chapter 1.6, Problem 65HP

To determine

To find: the number of cubes that measure 4 centimeters on given side can be placed completely inside the box below.

Answer to Problem 65HP

The number of cubes required 60.

Explanation of Solution

Given information:

Given figure,

  

Calculation:

Need to calculate the volume of the given box which will call $V_1$ and then divide it by the volume of 4 cm cube volume which will call $V_2$

So,

  $\begin{array}{c}{V}_1=20\cdot 16\cdot 12\\ =3840\end{array}$

And,

  $\begin{array}{c}{V}_2=4\cdot 4\cdot 4\\ =64\end{array}$

So, the final answer is:

  $\begin{array}{c}\frac{V_1}{V_2}=\frac{3840}{64}\\ =60\end{array}$

So, the number of cubes required 60.