Question

1. a triangular prism is shown below.

5 mm
4 mm
5 mm
6 mm
9 mm

1. which diagram is a net for the prism?
2. what is the lateral area of the triangular prism?

square millimeters

Explanation:

Part 1: Identify the correct net

A net of a triangular prism has two congruent triangular bases and three rectangular faces matching the prism's edge lengths. The original prism has triangular bases with sides 5 mm, 5 mm, 6 mm, and rectangular faces with length 9 mm. The first net has an extra triangular base, while the second net has exactly two congruent isosceles triangular bases (matching the prism's 5,5,6 mm sides) and three rectangles of length 9 mm.

Step1: Sum triangular base sides

The lateral area uses the perimeter of the triangular base.
$P = 5 + 5 + 6 = 16$ mm

Step2: Multiply by prism length

Lateral area = perimeter × prism length.
$L = 16 \times 9$

Answer:

The second diagram (right-side diagram) is the net for the prism.

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Part 2: Calculate the lateral area