Question

Thee cubes of iron edge are 6,8,10cm respectively are melted and formed into a single cube. find the edge of new cube formed​

Answer 1

Answer:

12

Step-by-step explanation:

Given---> Three cubes of edges 6, 8 , 10 cm are melted and formed a single cube.

To find---> Edge of new cube

Solution----> We know that,

Volume of cube = edge³

ATQ, edge of first cube = 6 cm

edge of second cube = 8 cm

edge of third cube = 10 cm

Now ,

Volume of first cube = edge³

= ( 6 )³

= 216 cm³

Volume of second cube = ( 8 )³

= 512 cm³

Volume of third cube = ( 10 )³

= 1000 cm³

Let , edge of bigger cube be a , then

Volume of bigger cube = a³

Three cubes are melted and fourth cube is formed so sum of volume of three small cubes is equal to the volume of bigger cube.

Now,

Volume of first cube + Volume of second cube + Volume of third cube = Volume of bigger cube

=> 216 + 512 + 1000 = a³

=> 1728 = a³

=> a³ = 1728

=> a³ = 12³

=> a = 12

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