The volume of a cube is 2744 cm³. Its surface area is __________.

Open in App

Solution

Let the edge of the cube be a cm.

Volume of the cube = 2744 cm³ (Given)

∴ a³ = 2744 cm³

⇒ a³ = (14 cm)³ (2744 = 2 × 2 × 2 × 7 × 7 × 7)

⇒ a = 14 cm

∴ Surface area of the cube = 6a² = 6 × (14 cm)² = 6 × 196 cm² = 1176 cm²

Thus, the surface area of the cube is 1176 cm².

The volume of a cube is 2744 cm³. Its surface area is 1176 cm².

Suggest Corrections

Similar questions

The volume of a cube is 2744 $c m^{3}$ . Its surface area is

(a) 196 $c m^{2}$ (b) 1176 $c m^{2}$ (c) 784 $c m^{2}$ (d) 588 $c m^{2}$

1734 c m^{3}

36 c m^{3}

2744 c m^{3}

600 c m^{2}

Join BYJU'S Learning Program