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RD Sharma Class 6 Solutions Chapter 16 - Understanding Three Dimensional Shapes (Ex 16.1) Exercise 16.1

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Last updated date: 17th Apr 2024
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Introduction of understanding the Dimensional shapes

In this chapter, we will learn about three-dimensional shapes. A three-dimensional shape is a shape that has height, width, and depth. The height is the distance from the bottom to the top of the shape. The width is the distance from one side to the other side of the shape. The depth is the distance from the front to the back of the shape. The area of a three-dimensional object is given by A = l × w × h, where l,w, and h are length, width, and height.


In this exercise we have examples related to solid shapes such as cube and cuboid etc, along with their properties , number of vertices ,shapes and sizes etc.


Free PDF download of RD Sharma Class 6 Solutions Chapter 16 - Understanding Three Dimensional Shapes Exercise 16.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 16 - Understanding Three Dimensional Shapes Ex 16.1 Questions with Solutions for RD Sharma Class 6 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Conclusion

Now you can download the PDF file of Chapter 16 for Class 6 by RD Sharma to practice and get proper insight of the chapter.

FAQs on RD Sharma Class 6 Solutions Chapter 16 - Understanding Three Dimensional Shapes (Ex 16.1) Exercise 16.1

1. Write the line of symmetry for each of the following shapes:

  • Line of symmetry: The cube has six sides, and it has one line of symmetry. This line goes through the center of the shape and divides it into two equal parts making each half a mirror image of another.

  • A triangular prism has three sides, and it does not have any lines of symmetry. This means that it is not symmetric about any lines. 

  • A cone has a circular base, and it does not have any line of symmetry. This means that it is not symmetric about any lines, and it does not have any mirror images. 

  • The rectangular prism has six sides, and it has one line of symmetry. This line goes through the center of the shape and divides it into two equal parts making each half a mirror image of another. 

  • A cylinder also has six sides, and it has one line of symmetry that runs down the center of the shape and divides it into two equal parts making each half a mirror image of another.

  • A square pyramid has four sides, and it does not have any line of symmetry. This means that it is not symmetric about any lines.

2. What is the rule of 3D shape?

The rule of 3D shape is 'height, width, and depth,' which is similar to the rule of the 2D shape. According to the rule of 3D shape, volume is measured by multiplying length, width, and height together. The number of faces, edges, and vertices are also counted, which is similar to the rule of 2D shape and is explained in the rule of 2D shape in 3D shape is a shape that has height, width, and depth. It can be a solid or a hollow object. 3D shapes are usually made out of materials like metal, plastic, and wood. 3D shapes have more than two dimensions as they exist in three dimensions, i.e., length, width, and height. 3D shapes can be seen and touched. 


2D shapes are flat, and they only have length and width. 2D shapes can be seen but not touched, while 3D shapes can be both seen and touched. The volume of a 3D shape is measured by multiplying length, width, and height together, while the surface area of a 2D shape is measured by multiplying length and width together. For more information on three dimensional shapes, you can download PDF format from Vedantu website. 

3. What is the difference between a cube and a rectangular prism?

A cube is a perfect example of a 3-D shape. It has six square sides, and all the angles are right angles. It also has length, width, and height. A rectangular prism is also a perfect example of a 3-D shape. It has six rectangular sides, and all the angles are right angles. It also has length, width, and height. The only difference between a cube and a rectangular prism is that a cube has square sides while a rectangular prism has rectangular sides.

4. What is volume?

Volume is the measure of space an object occupies, similarly to surface area in 2D shapes. The formula for measuring volume in 3D shapes is A = l × w × h, where l,w, and h are length, width, and height. The volume of a cube is found by multiplying the length, width, and height of a cube together. For instance, if a cube has length, width, and height of 2 cm, 3 cm, and 4 cm, respectively, its volume would be eight cubic cm. according to volume is the measure of space an object occupies, similarly to surface area in 2D shapes. The formula for measuring volume in 3D shapes is A = l × w × h, where l,w, and h are length, width, and height. The volume of a cube is found by multiplying the length, width, and height of a cube together. For instance, if a cube has length, width, and height of 2 cm, 3 cm, and 4 cm, respectively, its volume would be 8 cubic cm.

5. What are the properties of a cube?

A cube has six sides, each pair of opposite faces is parallel, all the faces are congruent (all squares), every internal angle is right (90°), there is one line of symmetry (which is the vertical line that goes through the cube splitting it into two equal parts).cube is a geometric solid that is the three-dimensional version of a square. It is a six-sided object with six square faces and eight vertices where the edges meet. The cube is one of the five Platonic solids, which are regular, convex polyhedra composed of congruent faces with the same number of faces meeting at each vertex. The other Platonic solids are the tetrahedron, the hexahedron or cube, the octahedron, and the icosahedron.