Question

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the
edges of the two smaller cubes are 6cm and 8 cm. Then the edge of the third smaller
cube is​

Answer 1

Answer:

edge of the third cube is 10 cm

Step-by-step explanation:

volume of metal cube with 12 cm edge is 1728 cm²

and volume of smaller metal cubes with 6 and 8 cm is 216 cm² and 512 cm² respectively

sum of volume of smaller cubes must be equal to volume of big cube

1728= 216 + 512 + x

x = 1000

third cube's volume = 1000

egde of third cube = cube root of 1000

= 10