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 shape that can be folded to form the 3 - D rectangular prism. It consists of 6 rectangles such that opposite rectangles have the same dimensions.

Step2: Analyze dimensions

The rectangular prism has dimensions 4 cm, 3 cm and 2 cm. The net should have pairs of rectangles with dimensions 4×3, 4×2 and 3×2.

Step3: Check the nets

In the first net, we can identify rectangles with dimensions 4×3, 4×2 and 3×2 in the appropriate arrangement to fold into the given rectangular prism. The second net also has the correct set of rectangles with dimensions 4×3, 4×2 and 3×2. However, we need to check the connectivity. When we fold the first net, we can form the rectangular prism correctly.

Answer:

The first net (left - hand side net in the options)