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jmc

geometry intermediate

Problem

A right hexagonal prism has a height of 3 feet and each edge of the hexagonal bases is 6 inches. What is the sum of the areas of the non-hexagonal faces of the prism, in square feet?

problem
Solution
Since each non-hexagonal face is a rectangle with base 6 inches and height 3 feet, each face has an area of inches feet feet feet square feet per face. Since there are 6 faces (6 edges to a hexagon), that makes for a total area of square feet.
Final answer
9