Question

find the lateral area of the prism. the base is a regular octagon.
8 m
12 m
square meters

Explanation:

Step1: Recall lateral area formula for prism

The lateral area \( L \) of a prism is given by \( L = Ph \), where \( P \) is the perimeter of the base and \( h \) is the height (or length) of the prism.

Step2: Find perimeter of regular octagon base

A regular octagon has 8 equal sides. Each side is 8 m, so the perimeter \( P = 8\times8 = 64 \) m.

Step3: Calculate lateral area

The height \( h \) of the prism is 12 m. Using the formula \( L = Ph \), we substitute \( P = 64 \) m and \( h = 12 \) m. So \( L = 64\times12 = 768 \) square meters.

Answer:

768