Page 112 - Math Course 1 (Book 2)
P. 112

Three-Dimensional Figures






         MO. 10 - L1b                                       C. How many f oors are in the skyscraper if each
                                                                 f oor is 16 feet high?
            Drawing Three-Dimensional                         You can see from the side view
                          Figures                             and top-count view that the height
                                                              of the building is 7 units.



                      Let’s Begin                           total height: 7 units × 80 feet per unit = 560 feet
                                                            number of f oors: 560 feet ÷ 16 feet per f oor = 35
                                                            f oors.

        Real World Example
                                                               Answer               35 f oors
          ARCHITECTURE

          An architect’s sketch shows the plans for a new
          skyscraper. Each unit on the drawing represents
          80 feet. Draw a top view and f nd the area of the   Your Turn!
          ground f oor.
                                                           Real World Example

                                                           A. ARCHITECTURE  An architect’s sketch shows the
                                                           plans for a new of  ce building. Find the area of the
                                                           ground f oor if each unit represents 75 feet.

                                                           A. 2,250 ft 2






                                                           B. 168,750 ft 2
         The drawing is two rectangles, a 4 × 6 and a 2 ×1, so
         the actual dimensions are 4(80) × 6(80) and 2 (80) ×
         1(80) or320 feet × 480 feet and 160 feet × 80 feet.

         To f nd the area, add the areas of the two rectangles.  C. 90,000 ft 2

         A = 320 • 480 + 160 • 80 or 166,400 ft 2


                                                           D. 202,500 ft 2
                         The area of the ground f oor
            Answer
                            is 166,400 square feet.

         B. Draw a top-count view of the building.

          Using the top     2    2     7    7    7
          view from part A,                                    Answer
          write the number  2    2     7    7    7
          of levels for each
          unit of the       2    2     2    2
          building.
                            2    2     2    5
            Answer          1    2     2    5


                            1    2     2    5

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