- “Kara has a sister who is an architect. Her sister is designing a building which is in the shape of a rectangular
prism. When Kara visits, she sees her sister is building a model of the building. Her sister says that the
model will be 2 feet high, 1.5 inches wide and 4.2 inches deep. She tells Kara that it has a scaling factor of
200 / 1 [U+0080][U+009D]. - Based on this information, help Kara to figure out the dimensions of the real building.”
- Solution:
- First- the students will need to have all of the measurements in inches since the scaling factor is in inches.
- That means that the model with be 36 inches high, 1.5 inches wide and 4.2 inches deep.
- They can multiply these by 200.
- Then convert back to feet by dividing by 12−since most buildings aren’t measured in inches.
- The final dimensions are: 300 feet high, 25 feet wide and 70 feet deep.
III.MeetingObjectives
- Students will use the scaling factor with similar solids.
- Students will problem solve using this information.
- Students will share their work with their peers.
IV.NotesonAssessment
- Is student work accurate?
- Did the students convert the original dimensions to inches?
- Is their final answer in feet?
- What conclusions did the students draw about the building?
5.11. Surface Area and Volume