Question

find the lateral surface area of the triangular prism pictured.
48
72
84

Explanation:

Step1: Identify lateral face dimensions

The net shows 3 rectangular lateral faces: two with dimensions $4 \times 6$, one with dimensions $4 \times 6$ (wait, correction: the triangle sides are 4,4,4, prism length 6. Lateral surface area = perimeter of triangle × length of prism.
Perimeter of triangular base: $4 + 4 + 4 = 12$

Step2: Calculate lateral surface area

Multiply perimeter by prism length:
$\text{Lateral Surface Area} = 12 \times 6 = 72$

Answer:

72