Final answer:
To find the surface area of the chocolate bar, calculate the area of each face and add them together. The triangular ends are equilateral triangles, and the rectangular side is a rectangle. Use the formulas for triangle and rectangle area to find the surface area.
Step-by-step explanation:
To calculate the surface area of the chocolate bar, we need to find the area of each face and then add them together. The triangular ends of the prism are equilateral triangles, which have all sides equal in length. In this case, each side measures 1 3/4 inches. The formula for the area of an equilateral triangle is A = (√3/4) x side². So, the area of each triangular end is (3√3/4) x (1 3/4)² square inches. Multiply this by 2 to account for both ends of the prism. The rectangular side of the prism is a rectangle with length 8 1/2 inches and height equal to the side length of the equilateral triangle, which is 1 3/4 inches. The area of the rectangle is length x height, so it is 8 1/2 x 1 3/4 square inches. Add the areas of the triangular ends and the rectangular side to find the total surface area of the chocolate bar.