Correct Answer - Option 2 : 19√3 cm
Given:
Volume of the cube = 6859 cm3
Concept used:
Volume of the cube = (side)3
Diagonal of a cube = √3 × (side)
Calculation:
Volume of the cube = (side)3
⇒ 6859 = (side)3
⇒ (19)3 = (side)3
⇒ 19 cm = side
Diagonal of the cube = √3 × 19
⇒ 19√3 cm
∴ The length of the longest rod is 19√3 cm.
A cube has 6 surfaces, 12 edges, 8 corners, and 4 diagonals.
Total surface area of a cube = 6 × (side)2
Lateral surface area 'or' area of four walls = 4 × (side)2
