Exploring Cones: Grade 7 Geometry
A Grade 7 geometry worksheet focusing on the properties, surface area, and volume of cones.
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Exploring Cones: Grade 7 Geometry
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Read each question carefully and answer to the best of your ability. Show your work where necessary.
1. Which of the following best describes a cone?
A 3D shape with six square faces.
A 3D shape with a circular base and a curved surface tapering to a single vertex.
A 3D shape with two parallel circular bases.
A 3D shape with all flat faces.
2. What is the formula for the volume of a cone?
V = πr²h
V = (1/3)πr²h
V = 2πrh
V = πrl
3. The of a cone is the distance from the base to the vertex.
4. The flat circular surface of a cone is called its .
5. The distance from the center of the base to any point on the edge of the base is the .
6. A party hat is shaped like a cone. If its radius is 3 cm and its height is 7 cm, calculate its volume. Use π ≈ 3.14.
7. Describe a real-world object that is shaped like a cone and explain how its shape is useful.
8. All cones have a circular base.
True
False
9. The slant height of a cone is always equal to its height.
True
False
Match the term with its definition.
10. Vertex
a. The distance from the center of the base to the edge.
11. Radius
b. The single pointed tip of a cone.
12. Slant Height
c. The distance from the vertex to any point on the circumference of the base along the surface of the cone.