Question

90 cm

75 cm

, 38.97 cm

45 cm

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)

O 30,772 cm2

17,550 cm2

020 250 cm2

Answer 1

The glass is the lateral surface of the prism: area = perimeter of base × height. For a regular hexagon with side 45 cm, perimeter = 6·45 = 270 cm. With height 75 cm the glass area = 270·75 = 20,250 cm².

(Checks: 2·45 = 90 cm is the vertex-to-vertex width and apothem = 45·√3/2 ≈ 38.97 cm.)