Question

Three solid iron cubes of edges 4cm,5cm, and 6cm are melted together to make a new cube .62cm cube of the melted material are lost due to improper handling.the area in cm square of the whole surface of the newly formed cube

Answer 1

volume of all three cubes combined is

4^3 + 5^3 + 6^3

64 + 125+ 216 = 405

but 62 cm cube vol is lost

therefore volume of new cube is 343 cm cube

let side of new cube is a

a*a*a = 343

a=7

surface area = 6*a*a

6*7*7 = 294 cm square