The top portion of a bird house is in the shape of a triangular prism. How many square meters of wood is needed for the roof and floor? The dimensions are as follows: h=2.5 meters, b=4.0 meters, l=5.0 meters, and s=2.5 meters.
A. 55 square meters
B. 19 square meters
C. 45 square meters
D. 48 square meters
First, let's calculate the area of the roof. Since the top portion of the bird house is a triangular prism, the area of the triangular roof can be calculated using the formula:
Area of triangle = 1/2 * base * height
Area = 1/2 * 4.0m * 2.5m = 5 square meters
Next, let's calculate the area of the floor. The floor of the bird house is also a rectangle, so the area can be calculated as:
Area of rectangle = length * width
Area = 5.0m * 2.5m = 12.5 square meters
Adding the area of the roof and floor together:
5 square meters (roof) + 12.5 square meters (floor) = 17.5 square meters
Therefore, the correct answer is not provided.