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

$\frac{1}{6}\ inch$

Length of big cube is given by

$\frac{2}{6}\ inch$

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

$Volume=Side^3$

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

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

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