Moderate Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Write the number of faces of a cylinder.
Correct! A cylinder has 3 faces - 2 circular faces and 1 curved surface.
(2) A cube has 12 edges. How many edges does a cuboid have?
Perfect! Both cube and cuboid have 12 edges each.
(3) How many vertices does a triangular prism have?
Excellent! A triangular prism has 6 vertices - 3 on each triangular face.
(4) Name a 3D solid shape that has only one face.
Great! A sphere has only one curved face and no edges or vertices.
(5) Write the number of sides and vertices of a hexagon. Sides =
Correct! A hexagon has 6 sides and 6 vertices.
Short Answer Questions (2 Marks Each)
Note: Answer each question with complete steps and clear explanations and submit sheet to subject teacher.
(1) Draw a cuboid and label its length, breadth, and height. Write its number of faces, edges, and vertices.
Properties: Faces:
Correct! Draw a rectangular box with length, breadth, and height labeled.
(2) A square pyramid has 5 faces. Write the names of these faces.
Base:
Side faces:
(3) Write two differences between a cone and a cylinder.
Cone: Has
Cylinder: Has
(4) A triangular prism has how many faces, edges, and vertices? Explain with a sketch.
Faces:
Edges:
(5) Draw a net of a cube and show how it can be folded into a 3D solid.
A cube net has
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete steps and clear explanations and submit sheet to subject teacher.
(1) Write the properties of a square pyramid (faces, edges, vertices). Draw a neat figure.
A square pyramid is a
Faces:
Edges:
Vertices:
(2) Explain with diagrams how a prism is related to polygons. Give examples of triangular and rectangular prisms.
Relationship:
Triangular prism: Base =
Rectangular prism: Base =
(3) A cube and cuboid both have 12 edges and 8 vertices. Write two differences in their faces and dimensions.
| Property | Cube | Cuboid |
|---|---|---|
| Face shape | All | All |
| Edge lengths | ||
| Dimensions |
(4) Draw and explain the net of a cylinder. Write its properties.
Net components:
Properties: Faces:
(5) Write the properties of polygons. Give examples of regular and irregular polygons with figures.
Properties of Polygons
A polygon is a
The line segments are called
The meeting points of sides are called
The line joining two non-adjacent vertices is called a
Regular polygon: All sides
Irregular polygon: Sides
(6) Explain with figures the difference between a regular polygon and an irregular polygon using:
(a) Equilateral triangle vs scalene triangle
| Equilateral triangle | Scalene triangle |
|---|---|
| All 3 sides are | All sides are of |
| All angles | All angles are |
| Hence, it is a | Hence, it is an |
(b) Square vs rectangle
| Square | Rectangle |
|---|---|
| All 4 sides | |
| All angles = | All angles = |
| Hence, it is a | Hence, it is an |
(7) For a regular hexagon, show its lines of symmetry.
A regular hexagon has
(8) A polygon has all sides equal but angles unequal. Is it regular? Justify your answer with an example.
A regular polygon must have
If a polygon has only equal sides but unequal angles, it
Example: A
Hence, a rhombus is an irregular polygon.
(9) Fill in the missing values in the table:
| Polygon | Number of Sides | Regular Example | Irregular Example |
|---|---|---|---|
| Triangle | |||
| Quadrilateral | |||
| Pentagon | |||
| Hexagon |
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) A cylinder has:
(a) 1 curved surface (b) 2 curved surfaces (c) 3 curved surfaces (d) No curved surface
Correct! A cylinder has 1 curved surface connecting the two circular bases.
(2) The number of vertices in a cone is:
(a) 0 (b) 1 (c) 2 (d) 3
Correct! A cone has 1 vertex at the top point.
(3) The base of a triangular prism is:
(a) Square (b) Rectangle (c) Triangle (d) Pentagon
Correct! A triangular prism has a triangle as its base.
(4) Which of the following solids has 6 faces, all rectangular?
(a) Cube (b) Sphere (c) Cuboid (d) Pyramid
Correct! A cuboid has 6 rectangular faces (cube has square faces).
(5) The number of edges of a square pyramid is:
(a) 6 (b) 8 (c) 12 (d) 10
Correct! A square pyramid has 8 edges - 4 on the base and 4 connecting to the apex.
(6) A polygon with 7 sides is called:
(a) Pentagon (b) Hexagon (c) Heptagon (d) Octagon
Correct! A heptagon has 7 sides.
(7) Which solid has only 1 curved face and 1 flat face?
(a) Sphere (b) Cone (c) Cylinder (d) Cuboid
Correct! A cone has 1 curved surface and 1 flat circular base.
(8) A cube has all its faces as:
(a) Squares (b) Rectangles (c) Circles (d) Triangles
Correct! All faces of a cube are squares with equal sides.
(9) The number of vertices of a cuboid is:
(a) 6 (b) 8 (c) 10 (d) 12
Correct! A cuboid has 8 vertices (corner points).
(10) Which of these is not a polygon?
(a) Triangle (b) Circle (c) Pentagon (d) Octagon
Correct! A circle is not a polygon - polygons have straight sides, not curves.
Advanced 3D Shapes Challenge
Determine whether these statements are True or False: