Respuesta :
Answer:
84 m²
Step-by-step explanation:
Solving : (Formula mentioned in question)
Finding area of base using Heron's Formula :
⇒ s = 5 + 4 + 3 / 2 = 12/2 = 6
⇒ s - a = 6 - 5 = 1
⇒ s - b = 6 - 4 = 2
⇒ s - c = 6 - 3 = 3
⇒ Area = √6 × 1 × 2 × 3
⇒ Area = √36 = 6 m²
Finding the Surface Area :
⇒ 2 × 6 + 12 × 6
⇒ 12 + 72
⇒ 84 m²
Triangular Prism
Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?
Solution:
- SAP = 4 + 5 + 3/2 = 12/2 = 6
- SAP = 6 - 5 = 1
- SAP = 6 - 4 = 2
- SAP = 6 -3 = 3
- A = √6 x 1 x 2 x 3
- A = √36 = 6m²
- SA = 2 x 6 + 12 x 6
- SA = 12cm + 72cm
- Surface Area = 84cm²
So the Surface area is 84cm²
