Question

find the total surface area and the lateral surface area of a cube of side 4.5 cm​

Answer 1

Answer:

lateral surface area = 4s²

= 4*4.5² = 4*4.5*4.5 = 81cm²

total surface area = 6s²

= 6*4.5² = 6*4.5*4.5 = 121.5cm²

Answer 2

• Total surface area of cube is 121.5 cm².
• Lateral surface area of cube is 81 cm².

Step-by-step explanation:

Given:-

• Side of cube is 4.5 cm.

To find:-

• Lateral surface area of cube.
• Total surface area of cube.

Solution:-

We know,

Total surface area of cube = 6a²

In which,

• a is side of cube.

So,

➝ 6 × (4.5)²

➝ 6 × 20.25

➝ 121.5

Thus,

Total surface area of cube is 121.5 cm².

______________________________

Lateral surface area of cube = 4a²

➝ 4 × (4.5)²

➝ 4 × 20.25

➝ 81

Therefore,

Lateral surface area of cube is 81 cm².

_________________________

More formulas:-

• Surface area of a cuboid = 2 (lb + bh + hl)
• Surface area of a cube = 6a²
• Curved surface area of a cylinder = 2πrh
• Total surface area of a cylinder = 2πr(r+h)
• Lateral surface are of cube = 4a²
• Curved surface area of a cone = πrl
• Total surface area of a right circular = πrl + πr²
• Surface area of a sphere =4πr²
• Curved surface area of a hemisphere = 2πr²
• Total surface area of a hemisphere = 3πr²
• Volume of cuboid= l × b × h
• Volume of a cube = a³
• Volume of a cylinder = πr²h
• Volume of a cone = 1/3πr²h
• Volume of a sphere =4/3πr²
• Volume of a hemisphere = 2/3πr²