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 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 | |||
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 | |||
If the length, breadth ,height, volume, total surface area and lateral surface area of a cuboidal box are l, b, h, v, S1 and S2 respectively, then which of the following relations is true? | |||
| Right Option : B | |||
| View Explanation | |||
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