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A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid? - Mathematics

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प्रश्न

A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

योग
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उत्तर

Volume of cuboid = 60 cm × 54 cm × 30 cm = 97200 cm3

Side of the cube = 6 cm

Volume of the cube = (6)3 cm3 = 216 cm3

Required number of cubes = `"Volume of the cuboid"/"Volume of the cube"`

`(60 xx 54 xx 30  cm^3)/(6 xx 6 xx 6  cm^3)`

= 450 cm.

Thus, 450 cubes can be placed in the given cuboid.

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अध्याय 11: Mensuration - Exercise 11.4 [पृष्ठ १९१]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 11 Mensuration
Exercise 11.4 | Q 4 | पृष्ठ १९१

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