Question

The question is

Answer 1

The lateral Surface area of the cylinder is 162.2 cm².

The lateral Surface area of the triangular prism is 226.6 cm².

Step-by-step 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