Question

a rectangular prism is shown below. which diagram is a net for this prism?

Explanation:

Step1: Recall net - concept

A net of a rectangular prism is a 2 - D pattern that can be folded to form the 3 - D rectangular prism. A rectangular prism has 6 faces, where opposite faces are congruent.

Step2: Analyze dimensions

The rectangular prism has dimensions 12 in.×4 in., 12 in.×3 in., and 4 in.×3 in.

Step3: Check nets

In a correct net, the rectangles should be arranged such that when folded, they form the prism. The first net has rectangles arranged in a way that when folded, it will form the given rectangular prism with the correct dimensions for each face. The second net has incorrect arrangement of rectangles as the side - lengths do not match up correctly for folding into the given prism.

Answer:

The first diagram is a net for this prism.