Answer:
3.41 m² of metal would be needed to cover the ramp
Step-by-step explanation:
The ramp has the shape of a triangular prism.
A triangular prism is a prism that has two equal triangles as base connected by three lateral faces.
The surface area of a triangular prism is the sum of the area of its base and lateral faces.
The surface area = 2B + PH
Where B is the area of the base , H is the height of the prism and P is the perimeter of the triangular base
Hence:
B = 0.5 * 1 m * 0.8 m = 0.4 m²
h = 1 m
P = 1 m + 0.8 m + 0.81 m = 2.61 m
Surface area = 2 * 0.4 m² + 2.61 m × 1 m = 3.41 m²
3.41 m² of metal would be needed to cover the ramp
