A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side … cube? Also, find the ratio between their…
Answers:
Volume of given cube = a3 = 123 = 12 x 12 x 12 cm3
Let the edge of the new cube = x
∴ Volume of new cube = x3
Volume of 8 new cubes = 8x3
Now, 8x3 = 12 x 12 x 12
⇒ x3 = 12 x 12 x 12/8 = 63
⇒ x = 6 cm
⇒ Surface area of given cube/Surface area of new cubes = 6a2/6x2
= 6 x 122/6 x 62 = 6 x 12 x 12/6 x 6 x 6 = 4/1 = 4 : 1