the sides of a cube are doubled.find the ratio between the volume of the first cube and the new cube

Asked by ajayrath7 | 22nd Jul, 2017, 10:57: AM

Expert Answer:

begin mathsize 16px style Let space the space side space of space 1 st space cube equals straight a
rightwards double arrow Volume space of space 1 st space cube equals straight a cubed

Now comma space the space side space of space 2 nd space cube space is space doubled.
rightwards double arrow Side space of space 2 nd space cube equals 2 straight a
rightwards double arrow Volume space of space 2 nd space cube equals left parenthesis 2 straight a right parenthesis cubed equals 8 straight a cubed
Hence comma space ratio space is space given space by
fraction numerator Volume space of space 1 st space cube over denominator Volume space of space 2 nd space cube end fraction equals fraction numerator straight a cubed over denominator 8 straight a cubed end fraction equals 1 over 8 equals 1 colon 8 end style

Answered by Rashmi Khot | 22nd Jul, 2017, 09:35: PM