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 cuboid is 3 cm high, 4 cm wide and 5 cm long. What is its volume? | |||
| Right Option : A | |||
| View Explanation | |||
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8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
