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Volume of a Cuboid

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Topics

formula

  • Volume of a Cuboid = l × b × h

notes

Volume of a Cuboid:

Volume of a Cuboid = Measure of the space occupied by the cuboid.

The area of the plane region occupied by each rectangle × height.

Volume of a Cuboid = base area × height = length × breadth × height.

Volume of a Cuboid = l × b × h, where l, b, and h are respectively the length, breadth, and height of the cuboid.

Example

Find the height of a cuboid whose volume is 275 cm3 and the base area is 25 cm2.
Volume of a cuboid = Base area × Height
Hence height of the cuboid = `"Volume of cuboid"/"Base area"`
=`275/25`
= 11 cm
Height of the cuboid is 11 cm.

Example

A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 m3?
Volume of one box = 0.8 m3
Volume of godown = 60 × 40 × 30 = 72000 m3
Number of boxes that can be stored in the godown = `"Volume of the godown"/"Volume of one box"`
= `(60 xx 40 xx 30)/(0.8)`
= 90,000
Hence the number of cuboidal boxes that can be stored in the godown is 90,000.
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