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.
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. Find the volume of the wood. | |||
| Right Option : B | |||
| View Explanation | |||
If length = 150 cm, breadth = 1 m and height = 2m, then the volume of cuboid is __________________ | |||
| Right Option : C | |||
| View Explanation | |||
A pond is to be constructed by digging out 12 m x 10 m x 8 m of earth. The soil out is to be used in filling up 3 smaller ponds of dimensions 10 m x 6 m x 4 m. If the remaining soil is used in covering a place of land 10 m x 8 m, what is the height of soil on the ground? | |||
| Right Option : B | |||
| 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
7thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
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
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
8thIt 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
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
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 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.
