Question

12. A metal cube of edge 9cm is melted and formed into three smaller cubes. If the edges of two smaller
cubes are 1 cm and 6 cm, find the edge of the third smaller cube​

Answer 1

Answer:

by volume conservation

volume of larger cube = summation of volume of all smaller cube

9^3 = 1^3 + 6^3 +x^3

729= 1+216+x^3

729- 217=x^3

512= x^3

x= 8 cm