Question

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

Explanation:

Step1: Recall the net of a rectangular prism

A rectangular prism has 6 faces: 2 of each pair of dimensions (length×width, length×height, width×height). The dimensions here are \( l = 20\) cm, \( w = 14\) cm, \( h = 9\) cm. So the faces should be: two \( 20\times14\), two \( 20\times9\), and two \( 14\times9\).

Step2: Analyze the options

• For a net of a rectangular prism, the arrangement should have the correct adjacent faces. Let's check the dimensions of each face in the options. The second diagram (right one) has faces with dimensions \( 20\times14\), \( 14\times9\), and \( 20\times9\) arranged such that when folded, it forms the rectangular prism with length 20, width 14, height 9. The first diagram has an incorrect arrangement of faces (e.g., some faces don't align with the required dimensions when folded).

Answer:

The second diagram (the one on the right) is the net for the prism. (Assuming the right diagram is the correct one based on the face dimensions and arrangement; if options were labeled, e.g., if the right is option B, then B. [Diagram description of the right one])