top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration

Facebook Login
Site Registration

Find the ratio of the surface area of the original cube to the sum of the surface areas of the new cube ?

0 votes
88 views

A cube whose edge measures 8 cm is cut into cubes whose edge measures 1 cm.
Find the ratio of the surface area of the original cube to the sum of the surface areas of the new cube ?

posted Dec 9, 2015 by Sidharth Malhotra

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

Let a1=edge of whole cube=8cm
Then V1=(a1*a1*a1)=(8*8*8)512cm^3
a2=edge of cut cube=1cm
Then V2=(a2*a2*a2)=(1*1*1)=1cm^3
No of cubes=N=V1 /V2=512/1=512nos
A1=Surface area of whole cube
=(6*a1*a1)=(6*8*8)=384cm^2
A2=Total surface area of cut cubes
=N*(6*a2*a2)=512*(6*1*1)=3072
A1/A2=384/3072
=1:8
Ans is 1:8

answer Dec 9, 2015 by Jaikumar Bhatia



Similar Puzzles
0 votes

If blue rectangle area is equal to the sum of 3 squares areas combined as in image, what is relation between a,b,c & d?

What is the relation between a,b,c & d

0 votes

A solid sphere of chocolate has a volume of 288Pi . The chocolate is then melted down and reshaped into a solid cube. Assume no chocolate was wasted.

enter image description here

Did the sphere have a greater surface area or does the cube?

0 votes

The length of a rectangle exceeds its width by 5m. If the width is increased by 1m and the length is decreased by 2m, the area of the new rectangle is 4 sq.m less than the area of the original rectangle. Find the dimensions of the original rectangle.

+1 vote

If in each square, the blue and red areas are equal then find out the ratio of radius between big and small circle?
enter image description here

...