Q. 43.9( 9 Votes )

Debnath has made

Answer :

Given that,

Debnath made a cuboid of dimension:


Length = 4 cm


Breadth = 3 cm


Height = 2 cm


Since, volume of cuboid = length × breadth × height


Volume of cuboid = 4 × 3 × 2


= 24


Therefore, volume of a cuboid made by Debnath is 24 cm3.


Factors of 24 are:


24 = 2 × 2 × 2 × 3


This 24 cm3 is volume of one cuboid, which is not even perfect cube.


And to form a cube, we need to have perfect cube volumes.


So make 24 into a perfect cube.


Notice the factors of 24,


24 = 2 × 2 × 2 × 3


Group three similar integers, we get


24 = (2 × 2 × 2) × 3


Multiply both sides by (3 × 3), we get


24 × (3 × 3) = (2 × 2 × 2) × 3 × (3 × 3)


216 = (2 × 2 × 2) × (3 × 3 × 3)


Number of cuboids = (3 × 3)


Because multiplying (3 × 3) makes a cube by the same number of cuboids.


Number of cuboids = 9


Thus, number of required cuboids are 9.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Smart Revision | Revision of Cubes and Cube RootsSmart Revision | Revision of Cubes and Cube RootsSmart Revision | Revision of Cubes and Cube Roots47 mins
Quiz | Cubes and Cube RootsQuiz | Cubes and Cube RootsQuiz | Cubes and Cube Roots41 mins
Quiz | Cubes and Cube RootsQuiz | Cubes and Cube RootsQuiz | Cubes and Cube Roots43 mins
Quiz | Cubes and Cube RootsQuiz | Cubes and Cube RootsQuiz | Cubes and Cube Roots41 mins
Extra Qs. of Cubes and Cube RootsExtra Qs. of Cubes and Cube RootsExtra Qs. of Cubes and Cube Roots43 mins
Smart Revision | Cubes and Cube RootsSmart Revision | Cubes and Cube RootsSmart Revision | Cubes and Cube Roots46 mins
NCERT | Imp. Qs. on Cubes and Cube RootsNCERT | Imp. Qs. on Cubes and Cube RootsNCERT | Imp. Qs. on Cubes and Cube Roots47 mins
Champ Quiz | Cubes and Cube RootsChamp Quiz | Cubes and Cube RootsChamp Quiz | Cubes and Cube Roots33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Let us write the West Bengal - Mathematics

Let us calculate West Bengal - Mathematics

Let us calculate West Bengal - Mathematics

Let us write whicWest Bengal - Mathematics

Debnath has made West Bengal - Mathematics

Let's find perfecWest Bengal - Mathematics

Let’s form two cuWest Bengal - Mathematics

Sumanta has made West Bengal - Mathematics