Answer :


Let 'a' be the side of one cube.


As two cubes are joined together, the surfaces that are joined together will not be included in the surface area of resulting cuboid.


So,


Surfaces area of resulting cuboid = 2(Total surface area of a cube) - 2(area of single surface)


Surfaces area of resulting cuboid = 2(6a2) - 2(a2) = 10a2


[As total surface area of cube = 6a2 , where a = side of cube]


Also,


Volume of cube = a3


64 = a3


[Given volume of cube is 64 cm3 ]


a = 4 cm


Therefore,


Surface area of resulting cuboid = 10a2 = 10(4)2 = 160 cm2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Sphere and HemisphereSphere and HemisphereSphere and Hemisphere16 mins
Right Circular CylinderRight Circular CylinderRight Circular Cylinder45 mins
Cube and CuboidCube and CuboidCube and Cuboid41 mins
Right Circular Cone And FrustumRight Circular Cone And FrustumRight Circular Cone And Frustum43 mins
Heights and Distances-IHeights and Distances-IHeights and Distances-I45 mins
History - Concept and QuestionsHistory - Concept and QuestionsHistory - Concept and Questions57 mins
Resources and Development RevisionResources and Development RevisionResources and Development Revision28 mins
Corrosion: Types, Pros and ConsCorrosion: Types, Pros and ConsCorrosion: Types, Pros and Cons41 mins
Revision on Substitution and  Elimination MethodRevision on Substitution and  Elimination MethodRevision on Substitution and Elimination Method44 mins
Area Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and Concepts59 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