Visualising Solid Shapes Worksheet

Multiple Choice Questions

1. A solid figure has _______
   (a) only length
   (b) length and breadth
   (c) length breadth and height
   (d) no dimensions
   
   
2. Anil saw a figure as shown below. His teacher asked him to find the number of edges in figure.
   
   (a) 14
   (b) 16
   (c) 18
   (d) 20
   
   
3. Given below is the net of the cube, which is marked with numbers on its faces, find the number that will be opposite to the face with number 3.
    
   (a) 1
   (b) 2
   (c) 5
   (d) 6
   
   
4. On folding the following net, we will get a …
   
   (a) Pyramid
   (b) Triangle
   (c) Prism
   (d) Cone
   
   
5. If we cut a cone vertically into two halves, then we will get a ___________ at the cut surface.
   (a) Square
   (b) Rectangle
   (c) Circle
   (d) Triangle
   
   
6. Anil has cut a cylinder in such a way, that he got a circle at the cut surface. So Anil has cut the cylinder
   (a) vertically
   (b) horizontally
   (c) diagonally
   (d) along its diameter
   
   
7. If a cuboid, as shown below, casts a shadow which is rectangular in shape,then the light source will be placed facing the___________________.
   
   (a) right side face of the cuboid
   (b) left side face of the cuboid
   (c) front face of the cuboid
   (d) all face of the cuboid
   
   
8. Raju lights a bulb over a solid shape, he gets a shadow below which resembles a circle, now which of the following can’t the solid shape.
   (a) Cylinder
   (b) Cone
   (c) Sphere
   (d) Prism
   
   
9. Select the option, which shows the top view of the following shape.
    
   (a) 
   
   (b) 
   
   (c) 
   
   (d) 
   
   
   
10. Shadow of a ________ shape will be ____________
    (a) 3D, 2D
    (b) 2D, 3D
    (c) 3D, 3D
    (d) 2D, 2D
    
    Subjective Questions
    
    
11. Count the number of faces, edges and vertices of the following figure
    
    
    
12. Construct the net for the following figure:
     
    
    
13. Draw 2D model of the following 3D solid
     
    
    
14. Draw a cuboid having dimensions 4×3×2 using a isometric dot sheet given below
     
    
    
15. Draw the vertical cross section of the following figure, if the figure is cut in halves:
     
    
    
16. Draw the horizontal cross section of the following figure, if the figure is cut in halves:
     
    
    
17. It is Raju’s birthday, and his father has bought a strawberry cake for the celebration (see image below). Now Raju wanted to donate half of this cake to an orphanage which was near to this house. Hence he cut the cake in exact half using a long knife. Now what would be the cross section of the cake after being cut.
     
    
    
18. Roshni likes to play by switching off the lights of a room and then lighting a torch in front of a wall, and making shadows of different figures on the wall. She had a cuboidal box as shown below. One day Roshni decided to use this box to make shadows on the wall, by keep one of its face facing the wall. Find the different shapes she can create.
     
    
    
19. Atul had a unique dice with 1 to 8 numbers printed on it (refer image below). Can you count the number of edges this dice will have?
    
    
    
20. Observe the net and write down all the pairs of numbers representing the opposite faces of the solid figure formed using the given net.
     

Multiple Choice Questions

1. A solid figure has _______
   (a) only length
   (b) length and breadth
   (c) length breadth and height
   (d) no dimensions
   
   Correct option: (c)
   Solution: A solid figure has length, breadth and height.
   
   
2. Anil saw a figure as shown below. His teacher asked him to find the number of edges in figure.
   
   (a) 14
   (b) 16
   (c) 18
   (d) 20
   
   Correct option: (b)
   Solution:
   
   
   
3. Given below is the net of the cube, which is marked with numbers on its faces, find the number that will be opposite to the face with number 3.
    
   (a) 1
   (b) 2
   (c) 5
   (d) 6
   
   Correct option: (d)
   Solution:  On folding, 5 and 4 will be adjacent to number 3 and 6 will be on its opposite.
   
   
4. On folding the following net, we will get a …
   
   (a) Pyramid
   (b) Triangle
   (c) Prism
   (d) Cone
   
   Correction option: (d)
   Solution:
   
   
   
5. If we cut a cone vertically into two halves, then we will get a ___________ at the cut surface.
   (a) Square
   (b) Rectangle
   (c) Circle
   (d) Triangle
   
   Correct option: (d)
   Solution:
   
   
   
6. Anil has cut a cylinder in such a way, that he got a circle at the cut surface. So Anil has cut the cylinder
   (a) vertically
   (b) horizontally
   (c) diagonally
   (d) along its diameter
   
   Correct option: (b)
   Solution:
   
   
   
7. If a cuboid, as shown below, casts a shadow which is rectangular in shape,then the light source will be placed facing the___________________.
   
   (a) right side face of the cuboid
   (b) left side face of the cuboid
   (c) front face of the cuboid
   (d) all face of the cuboid
   
   Correct option: (c)
   Solution: The given cuboid has a rectangular face on its front, back, top and bottom surface.
   
   
8. Raju lights a bulb over a solid shape, he gets a shadow below which resembles a circle, now which of the following can’t the solid shape.
   (a) Cylinder
   (b) Cone
   (c) Sphere
   (d) Prism
   
   Correct option: (d)
   Solution: A Prism won’t project a circular shadow.
   
   
9. Select the option, which shows the top view of the following shape.
    
   (a) 
   
   (b) 
   
   (c) 
   
   (d) 
   
   
   Correct option: (d)
   Solution:
   
   
   
10. Shadow of a ________ shape will be ____________
    (a) 3D, 2D
    (b) 2D, 3D
    (c) 3D, 3D
    (d) 2D, 2D
    
    Correct option: (a)
    Solution: Shadow of a 3D shape will be 2D.
    
    Subjective Questions
    
    
11. Count the number of faces, edges and vertices of the following figure
    
    Solution:
    Number of faces: 7
    Number of edges: 15
    Number of vertices: 10
    
    
12. Construct the net for the following figure:
     
    
    Solution:
    
    
    
13. Draw 2D model of the following 3D solid
     
    
    Solution:
    
    
    
14. Draw a cuboid having dimensions 4×3×2 using a isometric dot sheet given below
    
    
    Solution:
    
    
    
15. Draw the vertical cross section of the following figure, if the figure is cut in halves:
     
    
    Solution:
    Two possibilities
    
    
    
16. Draw the horizontal cross section of the following figure, if the figure is cut in halves:
     
    
    Solution:
    
    
    
17. It is Raju’s birthday, and his father has bought a strawberry cake for the celebration (see image below). Now Raju wanted to donate half of this cake to an orphanage which was near to this house. Hence he cut the cake in exact half using a long knife. Now what would be the cross section of the cake after being cut.
     
    
    Solution:
    There are two possible ways in which Raju can cut the cake
    
    So if cut vertically, we get a rectangle as cross section. And if cut horizontally, we get a circle as cross section.
    
    
    
18. Roshni likes to play by switching off the lights of a room and then lighting a torch in front of a wall, and making shadows of different figures on the wall. She had a cuboidal box as shown below. One day Roshni decided to use this box to make shadows on the wall, by keep one of its face facing the wall. Find the different shapes she can create.
     
    
    Solution:
    Now Roshni can flash the torch to the front face of the cuboid or the side face of the cuboid.
    
    Hence we can get a rectangular shadow on the wall, when the torch faces the front face.
    
    Or we can get a square shadow on the wall, when the torch faces the side face.
    
    
    
19. Atul had a unique dice with 1 to 8 numbers printed on it (refer image below). Can you count the number of edges this dice will have?
    
    
    Solution:
    If we keep the dice in a standing position as shown below
    
    There are 4 triangles on the upper part of the dice and 4 below.
    So
    4 edges from top vertex
    4 edges from bottom vertex
    and
    4 edges in the middle
    Hence, number of edges = 4 + 4 + 4 = 12.
    
    
20. Observe the net and write down all the pairs of numbers representing the opposite faces of the solid figure formed using the given net.
     
    Solution:
    Opposite faces will not have any common edges.
    
    
    In the figure above, common edges are represented using same colour.
    Hence, the pairs of numbers representing the opposite faces will be
    4 and 3
    5 and 2
    1 and 6