After melting three cubes of sides 6 cm, 8 cm and 10 cm, a big cube is made. Find the side of the new cube.
Answer & explanation
Correct answer: option 4
We know that,
Volume of a cube = Side3
Let the edge of new cube = a cm.
We also know that,
Volume of the new cube = Sum of the volumes of all the three smaller cubes
= a3 = 63 + 83 + 103
= a3 = 216 + 512 + 1000
= a3 = 1728
= a = 12 cm