Question

the total surface area of cube is 864 m square find its lateral surface area

Answer 1

Answer:

Total Surface Area of Cube = 6a²

Lateral Surface Area of Cube = 4a²

Given that,

TSA = 864 m²

⇒ 6a² = 864 m²

⇒ a² = 864 / 6 = 144

⇒ a = √144 = 12 m

Hence LSA will be:

⇒ LSA = 4a²

⇒ 4 ( 12 )²

⇒ 4 × 144

⇒ 576 m²

Hence Lateral Surface Area of cube is 576 m².

Answer 2

Answer:

576m^2

Step-by-step explanation:

Total Surface Area of Cube = 6a²

Lateral Surface Area of Cube = 4a²

Given that,

TSA = 864 m²

⇒ 6a² = 864 m²

⇒ a² = 864 / 6 = 144

⇒ a = √144 = 12 m

Hence LSA will be:

⇒ LSA = 4a²

⇒ 4 ( 12 )²

⇒ 4 × 144

⇒ 576 m²

Hence Lateral Surface Area of cube is 576 m².