Subjects geometry

Pentagonal Prism Net 1Bec2B

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is to select the correct net for a pentagonal prism birdhouse with a pentagonal base of side length 4 in and rectangular faces 5 in by 1 in. 2. The net of a pentagonal prism consists of 5 rectangular faces arranged in a row, each 5 in by 1 in, and two pentagonal faces attached to the sides of the rectangles. 3. The pentagonal faces are regular pentagons with side length 1 in, matching the width of the rectangles. 4. The two pentagonal faces must be attached to opposite sides of the chain of rectangles to fold correctly into a prism. 5. Among the options A, B, C, and D, the correct net is the one where the two pentagonal faces are attached on opposite sides of the middle rectangle. 6. Therefore, the correct net is option B, where the pentagons are attached on opposite sides of the middle rectangle in the chain of rectangles. Final answer: Option B is the correct net for the pentagonal prism birdhouse.