Question

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.(1 point) Responses 55 square meters 55 square meters 48 square meters 48 square meters 19 square meters 19 square meters 45 square meter

Answer 1

To find the total surface area of the triangular prism bird house, we first need to calculate the area of all the faces.

The area of the triangle on the top (roof) of the bird house can be calculated using the formula: 1/2 * base * height = 1/2 * 4 * 2.5 = 5 square meters.

The area of the rectangle at the bottom (floor) of the bird house is: length * width = 5 * 2.5 = 12.5 square meters.

Since there are 2 triangles for the roof and 2 rectangles for the floor of the bird house, the total area needed for the roof and floor is: 2*5 + 2*12.5 = 35 square meters.

Therefore, the correct answer is: 35 square meters.