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

Question

asked Jul 20, 2018 128k views

1 Answer

Riaan Nel · Answer 1 · 2018-07-24T16:28:05+0000

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

Explanation:

Since we have given that

Length of cubic block is given by

$(1)/(6)\ inch$

Length of big cube is given by

$(2)/(6)\ inch$

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

$\frac{\text{Volume of cube}}{\Volume of cubic block}}\\\\=((2)/(6)* (2)/(6)* (2)/(6))/((1)/(6)* (1)/(6)* (1)/(6))\\\\=8$

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