Three metallic cubes whose sides are 6 cm, 8 cm and 10 cm respectively are melted and converted into a single cube. If there is no loss of metal in this process, then what is the length of the side of the new cube?
Answer & explanation
Correct answer: option 3
We know that,
Volume of a cube = Side3
We have,
Three cubes of edges 6 cm, 8 cm and 10 cm
Volume of the new cube = Sum of the volumes of all the three smaller cubes
= Sid 3 = 63 + 83 + 103
= Side3 = 216 + 512 + 1000
= Side3 = 1728
= Side= 12 cm