Question

the rectangular prisms shown in isometric below have markings on each of their four long sides. choose the panel for the flat pattern so that when folded up, the correct object is obtained.

Explanation:

Step1: Visualize folding for first prism

Mentally fold the flat - panel to match the isometric view. For the first prism with dot - patterns, we check the relative positions of the dots when folded. The dots should align in a way that matches the 3 - D structure.

Step2: Analyze dot - pattern options

Option A has dots in positions that match the expected layout when the flat - panel is folded into the rectangular prism. Option B has dots in incorrect relative positions.

Step3: Visualize folding for second prism

For the second prism with the semi - circle and triangle, we mentally fold the flat - panel. The semi - circle and triangle should be on adjacent faces in the correct orientation.

Step4: Analyze semi - circle and triangle options

Option C has the semi - circle and triangle in the correct relative positions when folded to form the rectangular prism. Option A and B have incorrect orientations or positions of these shapes.

Answer:

1. A
2. C