Volume of a cuboid
Volume of a cuboid
Volume of cuboid: Let there be a cuboid of length l, breadth b and height h. The area of the rectangular base ABCD of the cuboid is (l x b) . Hence,
Volume of cuboid = length x breadth x height
Illustration: A match box measures 4 cm x 2.5 cm x 1.5 cm. What will be the volume of a packet containing 12 such boxes?
Solution: A match box is in the form of a cuboid.
Volume of one match box = 4cm x 2.5cm x 1.5cm
Volume of 12 match boxes = 12 x 15
Illustration: A cube of 9 cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of the base are 15 cm and 12 cm. Find the rise in water level in the vessel.
Solution: Edge of the cube = 9 cm
So, volume of the cube =
If the cube is immersed in vessel, then the water level rises.
Let the rise in water level be x cm.
So, Volume of the cube = Volume of the water replaced by by it
Volume of the cube = Volume of the cuboid of dimension 15 cm X 12 cm X x cm
729 = 15 X 12 X x
So,
Illustration: How many 3 meter cubes can be cut from a cuboid measuring 18 m X 12 m X 9 m?
Solution: Edge of each cube = 3 m
So, volume of each cube
Volume of the cuboid = (18 X 12 X 9)
So, number of cubes
Hence 72 cubes of 3 meter can be cut from the cuboid of given dimension.
Edge of a cube measures 25 m and l=20m, b=2 m, h=3 m are the measures of a cuboid. Which one of the above has larger volume? | |||
| Right Option : B | |||
| View Explanation | |||
External dimensions of a wooden cuboid are 30 cm X 25 cm X 20 cm . If the thickness of the wood is 2 cm all around , find the volume of the wood contained in the cuboid formed. | |||
| Right Option : A | |||
| View Explanation | |||
A cuboid is 3 cm high, 4 cm wide and 5 cm long. What is its volume? | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
