Question 106

Let "s" be the surface area of a cube of edge 9 em. This cube is cut into smaller cubes of edge 3 cm each, If "S" is the sum of the surface areas of all the smaller cubes, then s : S =

Solution

Number of smaller cubes obtained = (Volume of original cube)/(Volume of each of the smaller cube)
Hence, Number of smaller cubes obtained = (9*9*9)/(3*3*3) = 27

Now, surface area "s" of the original cube = 6*(9*9) sq. cm
Sum of Surface areas of all the smaller cubes, S = 27 * [6*(3*3)]

Hence, s:S = 1:3

Create a FREE account and get:

Download Maths Shortcuts PDF
Get 300+ previous papers with solutions PDF
500+ Online Tests for Free

AP ICET 2014

Let "s" be the surface area of a cube of edge 9 em. This cube is cut into smaller cubes of edge 3 cm each, If "S" is the sum of the surface areas of all the smaller cubes, then s : S =

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account