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Shapes Scavenger Hunt
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Shapes Scavenger Hunt
A team is checking the design of a new airport terminal. Use the shape clues below to identify shapes, compare properties and solve design challenges. Treat each outlined region as a flat shape unless it is described as a solid.
Part A: Find shapes in the terminal
Read each description and use its shape clues to answer the questions.
1.The check-in hall has four right angles, opposite sides equal, and adjacent sides unequal. What quadrilateral is it?
2.The café zone is a regular hexagon. How many sides and interior angles does it have?
3.The square information kiosk has side length 3 m. Find its perimeter and area.
4.A circular seating zone is a polygon because it is a closed shape. Is this claim correct? Explain using the definition of a polygon.
Part B: Shape properties
Think carefully about faces, edges, vertices and angles.
5.A luggage container is a cuboid. How many faces, edges and vertices does it have?
6.A triangular warning sign has angles 48° and 67°. Find the third angle.
7.A regular hexagonal café zone has equal sides and equal angles. Calculate the size of each interior angle.
8.True or false: every square is a rectangle, but not every rectangle is a square. Give a reason.
TrueFalse
Part C: Design challenge
Apply your geometry to help the airport team make practical decisions.
9.The boarding corridor is 18 m long and 6 m wide. What is its area?
10.The team wants a solid with two identical circular ends and one curved surface for a display-column casing. Which solid should they choose: cone, cylinder or sphere?
- Cone
- Cylinder
- Sphere
11.Draw a possible composite floor tile made from a rectangle and a semicircle. Label the straight sides and mark the semicircle’s diameter.
12.A team member claims that two different shapes can have the same perimeter but different areas. Give one pair of rectangles with whole-number side lengths that proves this claim.
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