Question

Three metal cubes whose edges measure 3cm , 4cm, 5cm respectively are melted to form a single cube find its edge

Answer 1

Answer:

Vol. of three cubes = Vol. of one big cube.

3X3X3+4X4X4+5X5X5=x³

27+64+125=x³

216=x³

x=∛216=6cm

Answer 2

Solutions :-.

Given :
Three metal cubes whose edges measure 3cm , 4cm, 5cm respectively.

Find the edge of a single cube formed after melting these three cubes :-

Sum of volume of three cubes = Volume a single cube
=> (3)³ + (4)³ + (5)³ = a³
=> 27 + 64 + 125 = a³
=> 216 = a³
=> ³√216 = a = 6

Hence,
The edge of a single cube formed after melting these three cubes = 6 m