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

Answer»

= 450 ✬Step-by-step EXPLANATION:GIVEN:Dimensions of cuboid are 60 cm × 54 cm × 30 cm.Measure of side of small cube is 6 cm.To Find:How many small cubes can be placed in cuboid ?SOLUTION: Let x cubes can be placed in the cuboid. Now to find the value of x , all we need to do is - Divide the volume of cuboid by the volume of cube.★ Volume of Cuboid = l × b × h ★l = Lengthb = Breadthh = HeightA/ql = 60 cm , b = 54 cm , h = 30 cm ( 60 × 54 × 30 ) cm³ 97200 cm³So the volume of cuboid is 97200 cm³.★ Volume of Cube = Side³ ★ ( 6cm )³ 216 cm³So the volume of cube is 216 cm³∴ x = Vol. Cuboid/Vol. cube➟ x = 97200/216➟ x = 450 cubesHence, 450 small cubes with side 6 cm can be placed in the cuboid.



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