NCERT Solutions for Class 9 Maths Exercise 13.5 Surface Areas and Volumes updated for new academic session 2022-2023. Class 9 Maths Exercise 13.5 solutions are available in Hindi and English medium. Get here the video and PDF file format solutions to download for offline use.
NCERT Solutions for Class 9 Maths Exercise 13.5
Volumes of solid objects
By completing the above-given topics so far, you have learned about volume of spheres and hemispheres, and many other shapes too. Recalling that information, we can conclude that every object occupies some space.
Even air occupies space if you contain it in a closed structure. If you exceed the limit it will overflow from it. Gas cylinders and water bottles are classic examples of it.
More about Class 9 Maths Exercise 13.5
Here we will study about the structures that could be solid or hollow. In both the cases, the inner part is occupied with air, solid or liquid. To fill these hollow objects properly we have find the volume. If you have decided to fill, you must know the capacity of the hollow object.
This is the practical use of the studying to measure the volume of the hollow object. In this part of chapter 13 from NCERT solutions Maths class 9th, we shall understand what volumes of cube and cuboid are.
Volume of cuboid in Exercise 13.5
Before this, you have already studied what are the properties that make cubes and cuboids different from each other. Since you already know that the area of a rectangle and cuboid is nothing more than 3-dimensional figures of the rectangle.
This provides us with the statement that capacity is the volume of any hollow object which can accommodate any substance in it. By following the above-mentioned statement we understand if we stack rectangles one on the other eventually it will make a cuboid.
Steps to find the Volume of Cube and Cuboid
Volume means area with height. It shall be provided with the height of the structure. If the area of a rectangle is l × b. As per the explanation given here the volume will be equal to the area of the rectangle multiplied by the height.
After a further breakdown you will get the formulae of volume of a cuboid = base area × height = length× breadth× height. Similarly, Volume of the cube shall be = edge × edge × edge = a³. You must understand that unit of answer finding volumes should come in cubes or you have to convert it into cubes.