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2D and 3D Shapes

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2D and 3D Shapes

Help plan a tiny pop-up park. Use the shape clues, diagrams and park plan to solve each task. Remember: faces are flat surfaces, edges are where faces meet, and vertices are corners.

Shape clues

Identify and describe shapes by their properties.

1.A paving tile has four equal sides and four right angles. What 2D shape is it?
2.A round pond has no straight sides or vertices. Is its outline a polygon? Explain your answer.
3.The park has a triangular sign. What is the sum of the triangle’s interior angles?
  • 90°
  • 180°
  • 270°
  • 360°
4.A corner in the park’s path is 125°. Classify this angle as acute, right, obtuse or straight.
  • Acute
  • Right
  • Obtuse
  • Straight

Build it in your mind

Use the descriptions to reason about 3D solids and their views.

5.The park’s storage box is a cube. How many faces, how many edges, and how many vertices does it have?
6.A triangular-prism planter has two triangular ends and three rectangular side faces. How many faces does it have?
7.From directly above, what 2D shape would you see when looking at a vertical cylinder with a circular top?
  • Circle
  • Rectangle
  • Triangle
  • Hexagon
8.Match each park object to the 3D shape that best describes it.
  • A ball
  • A drink can
  • An ice-cream cone
  • A dice-shaped block
  • Cube
  • Sphere
  • Cylinder
  • Cone

Read the park plan

Each square on this top-down plan represents one equal patch of ground. Use the plan for Question 9.

Pond

Path

Path

Garden

Path

Path

Lawn

Garden

Lawn

Lawn

Lawn

Garden

9.In this top-down plan, the pond occupies one square. If its edge is a straight segment on the plan, what kind of shape can that outline represent? Give one possible answer.
10.The park designer wants a 2D pattern that will fold into a cube-shaped box. What is this flat pattern called?
  • A net
  • An elevation
  • A vertex
  • A prism
11.Choose one solid from the park challenge and sketch a possible net for it. Label the 2D shapes that make up your net.
Draw and label your net here.

3 printable pages

  • 2D and 3D Shapes, page 1 of 3: Shape clues, Build it in your mind

    Page 1

  • 2D and 3D Shapes, page 2 of 3: Read the park plan

    Page 2

  • 2D and 3D Shapes, page 3 of 3: 11. Choose one solid from the park challenge and sketch a possible net for it. Label the…

    Page 3

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