Question

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

Explanation:

Step1: Recall net - structure of triangular prism

A triangular prism has two triangular faces and three rectangular faces. The triangular faces are congruent and the rectangular faces connect the corresponding sides of the triangular faces.

Step2: Analyze side - lengths

The triangular faces have sides 20 mm, 20 mm and 32 mm with height 12 mm. The rectangular faces have dimensions: one with sides 10 mm and 20 mm, one with sides 10 mm and 32 mm and one with sides 10 mm and 20 mm.

Step3: Match with given diagrams

By comparing the side - lengths and the overall structure of the net, we can identify the correct net. The correct net will have two congruent triangles with side - lengths as described above and three rectangles with appropriate side - lengths connecting the triangles.

Answer:

The net on the left is the correct net for the given triangular prism.