CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the length of each edge of a cube is doubled, how many times does its volume become? How many times does its surface area become?

Open in App
Solution

Let edge of given cube be a.

Volume of the cube, V=a3

and surface area, S.A=6a2

By doubling the edge of cube, the side of new cube =a×2=2a

New Volume =V=(2a)3=8a3=8×a3

and, New surface area, S.A=6(2a)2=6×4a2

=24a2=4×6a2

It is clear from the above that

V=8×V

and, S.A=4×S.A

Hence, Volume is increased 8 times and the surface area is 4 times.


flag
Suggest Corrections
thumbs-up
165
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Surface Area of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon