Question

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

Explanation:

Step1: Recall net - properties of rectangular prism

A net of a rectangular prism should have 6 rectangles such that when folded, it forms the prism. The pairs of rectangles should match the dimensions of the faces of the prism.

Step2: Analyze dimensions of given prism

The rectangular prism has dimensions 3 mm, 5 mm, and 10 mm. The net should have rectangles with these side - lengths.

Step3: Check first net

In the first net, we can identify rectangles with dimensions 3×5, 3×10, and 5×10 which can be folded to form the given prism.

Step4: Check second net

In the second net, the arrangement and dimensions of the rectangles do not match up correctly to form the given rectangular prism when folded. For example, the way the rectangles are connected and their relative sizes are not consistent with the prism's faces.

Answer:

The first diagram is a net for this prism.