Question

4. The side of a cube is (2a-3b) then the volume of the cube is​

Answer 1

Given :-

• Side of cube = ( 2a - 3b )

To Find :-

• Volume of the cube

Solution :-

★ Volume of the cube = a³

⇒ ( 2a - 3b )³

⇒ (2a)³ - 3 × (2a)² × 3b + 3 × 2a × (3b)² - (3b)³

⇒ 8a³ - 3 × 4a² × 3b + 3 × 2a × 9b² - 27b³

⇒ 8a³ - 36a²b + 54ab² - 27b³

Volume of the cube is 8a³ - 36a²b + 54ab² - 27b³ unit³

Answer 2

Solution :

Volume of the cube = a³

$\implies$ ( 2a - 3b )³

$\implies$ (2a)³ - 3 × (2a)² × 3b + 3 × 2a × (3b)² - (3b)³

$\implies$ 8a³ - 3 × 4a² × 3b + 3 × 2a × 9b² - 27b³

$\implies$ 8a³ - 36a²b + 54ab² - 27b³

Volume of the cube is 8a³ - 36a²b + 54ab² - 27b³ unit³