Correct Answer - Option 2 : 4913 cu.cm
Given:
75% of T.S.A = 1300.5 sq.cm
Formula used:
T.S.A of cube = 6a2
Volume of cube = a3
Calculation:
Let the T.S.A be x
so, 3/4 × x = 1300.5
⇒ x = (1300.5 × 4)/3 = 1734 sq.cm
6a2 = 1734
⇒ a2 = 289
⇒ a = 17 cm
Volume = 173 = 4913 cu.cm
∴ The volume is 4913 cu.cm