The lateral Surface area of the cylinder is 162.2 cm².
The lateral Surface area of the triangular prism is 226.6 cm².
Explanation:
To find the lateral Surface area of the cylinder :
The given information are,
- The height of the cylinder, h = 12.3 cm.
- The diameter of the cylinder, d = 4.2 cm.
- The radius of the cylinder, r = d/2
⇒ r = 4.2 ÷ by 2
⇒ r = 2.1 cm
∴ The radius is 2.1 cm
The lateral Surface area of the cylinder = 2πrh
⇒ 2 × π × 2.1 × 12.3
⇒ 51.66 π
We know the default value of π is 3.14
⇒ 51.66 × 3.14
⇒ 162.2 cm²
To find the lateral Surface area of the prism :
The given information are,
- The height of the prism, h = 10.3 cm.
- The three bases of the prism are b1 = 8 cm, b2 = 8 cm, b3 = 6 cm.
The lateral Surface area of the triangular prism = (b1+b2+b3)×h
⇒ (8+8+6) × 10.3
⇒ 22 × 10.3
⇒ 226.6 cm²