The volume of a cue is 1000 cu. cm. Find its total surface area.

Solution:

Volume of a cube = l3

∴ l3 = 1000  [Given]

∴ l = 3√1000

∴ l = 10 cm

Now,

Total surface area of a cube = 6l2

∴ Total surface area of a cube = 6 (10)2

∴ Total surface area of a cube = 6(100)

∴ Total surface area of a cube = 600 sq. cm.

Ans. Total surface area of a cube is 600 sq. cm.