If the longest diagonal of a cube is $6\sqrt{3}$ cm, then its volume and surface area are _____ and _____ respectively.
Answer & explanation
Correct answer: option 2
Longest Diagonal of a cube = a√3 = 6√3
⇒ a = 6 cm
⇒ Surface area of cube = 6 × a2 = 6 × 62
∴ 6 × 36 = 216 cm2
its volume a3 = 63 = 216cm3