Question

How many cubic blocks of side length
1/6 inch would it take to fill a
cube with a side length of 2/6 inch?

Answer 1

Answer: There are 8 cubic blocks that is needed to fill a cube.

Step-by-step explanation:

Since we have given that

Length of cubic block is given by

\frac{1}{6}\ inch

6

1

inch

Length of big cube is given by

\frac{2}{6}\ inch

6

2

inch

As we know the formula for "Volume of cube":

Volume=Side^3Volume=Side

3

So, Number of cubic blocks to be filled in big cube is given by

\begin{gathered}\frac{\text{Volume of cube}}{\Volume of cubic block}}\\\\=\frac{\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}}{\frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}}\\\\=8\end{gathered}

Hence, there are 8 cubic blocks that is needed to fill a cube.