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Visualising Shapes Class 7 Worksheet Maths

 Q.1. Net of dice is given below, answer the following questions:

(i) Find the number of dots on the face C of the dice?
(ii) Find the number of dots on the face B of the dice?
(iii) Find the sum of dots on faces A and B in the given figure.

View Answer  

Ans. (i) 6
(ii) 4
(iii) 6

Q.2. How many rectangles are in the net of rectangular prism? 

Q.3. State whether the given statements are 'True' or 'False'.
 (i) In the oblique sketch of the solid, the measurements are kept proportional.
 (ii) The measurements are of exact size in an isometric sketch.
 (iii) While a sphere is a 2-D figure, the circle is a 3-D figure.
 (iv) The circle, the square, the rectangle, and the triangle are examples of plane figures. 

View Answer  

Ans. (i) False, In oblique sketches, measurements are not necessarily kept proportional.
(ii) True
(iii) False,  A sphere is a 3D figure, while a circle is a 2D figure.
(iv) True

Q.4. Fill up the blanks :
 (i) The solid with one circular face, one curved surface, and one vertex is called ...........
 (ii) Total no. of edges a cylinder are .......................
 (iii) A solid with no vertex is ....................
 (iv) The common portion of two adjacent faces of a cuboid is called .................

View Answer  

Ans. (i) Cone
(ii) 2
(iii) Sphere
(iv) Edge

Q.5. Complete the following table :

Figure

No. of Faces

 

.........................

 

 

 

.........................

 

 

 

.........................

 

 

 

.........................

No. of Edges

 

.........................

 

 

 

.........................

 

 

 

.........................

 

 

 

.........................

No. of Vertices

 

.........................

 

 

 

.........................

 

 

 

.........................

 

 

 

.........................

View Answer  

Ans. 

Figure

No. of Faces

 

7

 

 

 

5

 

 

 

5

 

 

 

7

No. of Edges

 

15

 

 

 

8

 

 

 

9

 

 

 

15

No. of Vertices

 

10

 

 

 

5

 

 

 

6

 

 

 

10

Q.6. Draw the top, the front, and the side views of the given solid made up of cubes.

View Answer  

Ans. 

Top view

Front view

Side view (right) 

Q.7. Draw an isometric view of a cuboid 5 cm × 3 cm × 2 cm.

View Answer  

Ans. Three different isometric sketches of the given cuboid are shown below:

Q.8. Form the above figure answer the following questions:

(i) Which edge is the intersection of faces EFGH and EFBA?
 (ii) Which faces intersect at edge FB?
 (iii) Give all the edges that are per pendicular to edge AB.
 (iv) Give four vertices that do not all lie in one plane.
 (v) If we subtract......from 53214 than the number so obtained is divisible by 8.

View Answer  

Ans. 

(i) EF

(ii) ABFE, BFGC

(iii) AE, BF, AD, BC

(iv) A, E, C, B (Group of pains may differ)
(v) 6
The document Visualising Shapes Class 7 Worksheet Maths is a part of the Class 7 Course Mathematics (Maths) Class 7 (Old NCERT).
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FAQs on Visualising Shapes Class 7 Worksheet Maths

1. What are some common shapes that students should be able to visualize?
Ans. Students should be able to visualize basic shapes such as circles, squares, rectangles, triangles, and more complex shapes like pentagons, hexagons, and three-dimensional shapes like cubes, spheres, and pyramids.
2. How can visualizing shapes help in solving math problems?
Ans. Visualizing shapes can aid in understanding relationships between different geometric figures, making it easier to compute areas, volumes, and angles. It enhances spatial reasoning, which is crucial in problem-solving within geometry.
3. What strategies can students use to improve their shape visualization skills?
Ans. Students can improve their visualization skills by practicing drawing shapes, using physical models or manipulatives, engaging in interactive geometry software, and solving real-world problems that involve shapes.
4. Are there specific tools or resources that can assist with visualizing shapes?
Ans. Yes, tools such as graph paper, geometric drawing apps, 3D modeling software, and educational websites with interactive geometry games can help students visualize and understand shapes better.
5. Why is it important for students to learn about visualizing shapes in early education?
Ans. Learning to visualize shapes in early education lays a strong foundation for understanding more complex mathematical concepts, enhances critical thinking and problem-solving skills, and prepares students for higher-level math courses.
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