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.
If the area of three sides of cuboidal block are in the ratio of 2 : 3 : 4 and its volume is 9000 cm cube, then the length of the shortest side : | |||
| Right Option : B | |||
| View Explanation | |||
A covered wooden box has the inner measures as 110 cm, 70 cm and 30 cm and thickness of wood is 2.5 cm. Then the volume of wood 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 | |||
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Prisha Gupta
8thMy 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 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
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Aman Kumar Shrivastava
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Om Umang
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Eshan Arora
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Shreya Shrivastava
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Barkha Arora
10thA 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.
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7thIt 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.
