Answer :

Let the edges of cubes be a1, a2 and a3


So, a1 = 3 cm, a2 = 4 cm, and a3 = 5 cm


Explanation: Here the sum of volumes of all three cubes will be equal to the volume of the resulting larger cube as the resulting cube is formed by melting the three cubes.


Volume of cube with edge a1 = v1 = (a1)3


v1 = (3)3


v1 = 27 cm3eqn1


Similarly


Volume of cube with edge a2 = v2 = (a2)3


v2 = (4)3


v2 = 64 cm3eqn2


Volume of cube with edge a3 = v3 = (a3)3


v3 = (5)3


v3 = 125 cm3eqn3


Now let the volume of resulting cube be ‘V’ cm3


So, V = v1 + v2 + v3


V = 27 + 64 + 125 (from eqn1, eqn2 and eqn3)


V = 216 cm3eqn4


Let the edge of resulting cube be ‘a’ cm


So, volume of the resulting cube = V = a3eqn5


Equate equation 4 and 5,


a3 = 216


a = (216)


a = 6 cm


The edge of new cube formed is 6 cm.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigo Marathon Part 2Trigo Marathon Part 2Trigo Marathon Part 245 mins
Trigo Marathon Part 1Trigo Marathon Part 1Trigo Marathon Part 146 mins
Application of Trigo Important QuestionsApplication of Trigo Important QuestionsApplication of Trigo Important Questions44 mins
Chemical Properties of Metal and Non MetalChemical Properties of Metal and Non MetalChemical Properties of Metal and Non Metal61 mins
Arithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of AP55 mins
Extraction of MetalExtraction of MetalExtraction of Metal56 mins
Purification of MetalsPurification of MetalsPurification of Metals60 mins
Introduction of Metal and Non MetalIntroduction of Metal and Non MetalIntroduction of Metal and Non Metal59 mins
Properties of Metal and Non MetalProperties of Metal and Non MetalProperties of Metal and Non Metal59 mins
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 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