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Worksheet Solutions: Shapes and Designs - 2 | Mathematics for Class 3: NCERT PDF Download

Q1: Is alphabet (A) a closed shape?
Ans:
No, alphabet (A) is not a closed shape.

Q2: Give 3 examples of closed shape alphabets?
Ans: 
3 examples of closed shape alphabets are (O), (B), and (D).

Q3: Give 2 examples of open shape alphabets?
Ans:
2 examples of open shape alphabets are (U), and (S).

Q4: Annie wants to count the number of triangles present in the given image?
Counting RectanglesCounting Rectangles

Ans: Here, Annie wants to count the total number of triangles present in the image. So, Annie will use the concept of counting shapes to find how many triangles are present: 

  • Step1: Identify the different shapes present in the image. Here, in the above image, only triangles are present. 
  • Step2: Add the numbers to the base of the small triangles.
    Base trianglesBase triangles
  • Step3: To calculate the total number of triangles, add base numbers.
    Total TrianglesTotal Triangles
  • Total number of triangles = 3
  • So, the total number of triangles present in the image is 3.

Q5: Count the number of triangles present in the given image?
Counting TrianglesCounting Triangles

Ans: Here, we want to count the total number of triangles present in the image. So, we will use the concept of counting shapes to find how many triangles are present: 

  • Step 1: Identify the different shapes present in the image. Here, in the above image, only triangles are present. 
  • Step 2: Add the numbers to the base of the small triangles.
    Base TriangleBase Triangle
  • Step 3: To calculate the total number of triangles, add base numbers.
    Addition of base numbers of trianglesAddition of base numbers of triangles
    • Total number of triangles = 10 
    • So, the total number of triangles present in the image is 10.

Q6: Sam wants to count the number of triangles present in the given image?

Counting TrianglesCounting TrianglesAns: Here, Sam wants to count the total number of triangles present in the image. So, Sam will use the concept of counting shapes to find how many triangles are present:

  • Step 1: Identify the different shapes present in the image. Here, in the above image, only triangles are present. 
  • Step 2: Add the numbers to the base of the small triangles. Here, we have 2 small triangles in the first layer and 2 small triangles in the second layer.
    Base TrianglesBase Triangles
  • Step 3: To calculate the total number of triangles, add base numbers present on each layer.
    Addition of base trianglesAddition of base triangles
    • Number of triangles in the first layer = 3
    • Number of triangles in the second layer = 3
    • Total number of triangles in both layers = 3 + 3 = 6
    • So, the total number of triangles present in the image is 6.

Q7: How many edges does a triangle have?
Ans:
A triangle has 3 edges.

Q8: How many edges does a ball have?
Ans:
A ball has zero edges.

Q9: How many corners does a square have?
Ans: 
A square has 4 corners.

Q10: How many corners does an oval have?
Ans: 
An oval has 0 corners.

The document Worksheet Solutions: Shapes and Designs - 2 | Mathematics for Class 3: NCERT is a part of the Class 3 Course Mathematics for Class 3: NCERT.
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FAQs on Worksheet Solutions: Shapes and Designs - 2 - Mathematics for Class 3: NCERT

1. What are the different types of shapes and designs?
Ans. There are several types of shapes and designs, including geometric shapes (such as squares, circles, and triangles), organic shapes (such as leaves or flowers), abstract designs (which do not represent any specific object), and patterns (repetitive designs or motifs).
2. How can shapes and designs be used in art and architecture?
Ans. Shapes and designs play a significant role in art and architecture. They can be used to create balance and harmony, add visual interest, convey emotions, and communicate ideas or messages. In art, shapes and designs are often used to depict objects or represent abstract concepts. In architecture, they are used to create aesthetically pleasing structures and functional spaces.
3. What is the importance of symmetry in shapes and designs?
Ans. Symmetry is an essential aspect of shapes and designs as it creates a sense of balance and harmony. It refers to the arrangement of elements in a way that they are mirrored or evenly distributed across a central axis or point. Symmetrical shapes and designs are visually pleasing and can evoke a sense of calmness and order.
4. How can shapes and designs be used to enhance communication and convey meaning?
Ans. Shapes and designs can be used to enhance communication and convey meaning through symbolism and representation. For example, certain shapes like circles can symbolize unity or eternity, while jagged lines can convey chaos or tension. In graphic design and advertising, shapes and designs are often used to evoke specific emotions or convey a particular message to the audience.
5. How can shapes and designs be used in interior design?
Ans. Shapes and designs are crucial in interior design as they can influence the overall atmosphere and functionality of a space. Different shapes can create different moods – for example, curved lines and organic shapes can create a sense of relaxation and comfort, while straight lines and geometric shapes can convey a more formal or structured ambiance. Designs and patterns can also be used to add visual interest and define specific areas within a room.
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