To calculate the surface area of the glass sides of the regular hexagonal prism coffee table, we need to find the area of each side and then multiply by the number of sides.
Each side of the regular hexagon has a length of 6 cm (as given in the diagram) and a height of 7 cm (since the height of the prism is 7 cm).
The area of each side of the hexagon is (1/2) x base x height = (1/2) x 6 x 7 = 21 cm^2.
Since there are 6 sides on the hexagonal prism, the total area of the glass sides is 6 x 21 = 126 cm^2.
Therefore, the furniture company will need 126 cm^2 of glass to make one coffee table.
The answer is 20,250 cm2 or 20,250 cm squared.
Use the image to answer the question. First Choice Interior makes a coffee table in the shape of a regular hexagonal prism. The top is made of wood, the sides of glass, and the bottom of metal. Use the net to find how many cm2 of glass are needed for the furniture company to make one coffee table. (1 point) Responses 30,772 cm2 30,772 cm squared 20,250 cm2 20,250 cm squared 40,500 cm2 40,500 cm squared 17,550 cm2
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