Question

which diagram is a net for this prism?

Explanation:

Step1: Recall net - properties of rectangular prism

A rectangular prism net has 6 rectangles such that opposite rectangles are congruent. The dimensions of the faces of the prism are \(13\times5\), \(13\times14\), and \(5\times14\).

Step2: Analyze the first net

In the first net, check the dimensions of the rectangles. The rectangles have the correct pair - wise dimensions that match the faces of the given rectangular prism. The \(13\times5\), \(13\times14\), and \(5\times14\) rectangles are present in the appropriate positions to fold into the given prism.

Step3: Analyze the second net

In the second net, observe the arrangement and dimensions of the rectangles. The second net has an incorrect arrangement of the rectangles. For example, the way the \(13\times5\) and \(13\times14\) rectangles are placed will not fold to form the given prism.

Answer:

The first net.