What figures make up the composite space figure?

  1. A real estate company sells plots of land. The plot shown at the right costs $84,120. What is the price per square foot of the land? Explain how you found your answer.

 

 

 

  1. Regular hexagon ABCDEF has vertices at A(4, 4Ö3), B(8, 4Ö3), C(10, 2Ö3), D(8, 0), E(4, 0) and F(2, 2Ö3). Suppose the sides of the hexagon are reduced by 40% to produce a similar regular hexagon. What are the perimeter and area of the smaller hexagon rounded to the nearest tenth? Explain how you found your answer.

 

  1. The stained glass circle-head window has a 2-in. wide frame. Th e grills divide the semi-circular glass pane into four congruent regions. a. What is the area of the blue region? b. What is the outside perimeter of the window frame?

 

  1. The net of a composite space figure is shown below.

 

 

 

  1. What figures make up the composite space figure?

 

  1. What is the surface area of the composite space figure? Round your answer to the       nearest square centimeter.

 

 

  1. Jack and Maureen are opening an ice hotel. Th e structure and furniture are made out of ice. They must determine the weight of some of the ice furniture to decide the size of the crane needed to lift each piece into place. Maureen knows that ice weighs approximately 62.4 pounds per cubic foot. Find the approximate weight of each of the figures below.

 

  1. Th e stage in the banquet hall measures 22 ft by 15 ft by 4 ft.

 

  1. Two cylindrical pillars will flank the front door. Each cylinder has diameter 1 ft and height 9 ft.

 

  1. A series of four spheres will decorate the reception area. Th e largest sphere has diameter 4 ft. Th e other three spheres have diameter 2 ft, 1 ft, and 1 2 ft.