Q. 23.6( 10 Votes )

A cube of side 4cm is cut into 1cm cubes. What is the ratio of the surface areas of the original cubes and the cut-out cubes?
A. 1:2

B. 1:3

C. 1:4

D. 1:6

Answer :

The cube has side = 4 cm, as shown below:

Now, the cube is cut into small cubes of each side cm.

The total number of cubes = 4 × 16 = 64 small cubes.

Numbers of cut-out cubes =

Now, surface area of cut-out cubes = 64 × 6 × 1 cm2

And surface area of the original cube = 6 × 42

The required ratio = = 1:4

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Area of Polygons41 mins
Quiz | Imp. Qs on Polyhedrons38 mins
NCERT | Surface Area of Solid Shapes39 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
view all courses