Answer:
15200 cm²
Step-by-step explanation:
from inspection of the diagram, we can see that the prism comprises:
- 2 congruent triangles
- 1 base rectangle
- 2 congruent side rectangles
Triangle
Area of triangle = 1/2 x base x height
Given:
- base = 60 cm
- height = 40 cm
⇒ area = 1/2 x 60 x 40 = 1200 cm²
Base rectangle
Area of a rectangle = width x length
Given:
⇒ area = 60 x 80 = 4800 cm²
Side rectangle
Area of a rectangle = width x length
Given:
⇒ area = 50 x 80 = 4000 cm²
Total area = 2 triangles + base rectangle + 2 side rectangles
⇒ total area = (2 x 1200) + 4800 + (2 x 4000) = 15200 cm²
