A cube has a volume of 4 cm3. What is the new volume if each side length is doubled? A cube has a volume of 4 cm3. What is the new volume if each side length is doubled? @Mathematics

Question

anonymous · Answer

12cm^3?

unklerhaukus · Answer

if the volume is 4 cm^3 then each side length is 4^{1/3} cm
doubling this becomes 2 x 4^{1/3} cm
cubing 2^3 + 4 = 8 +4 = 12 cm^3

anonymous · Answer

oh i think i get it thank you

anonymous · Answer

It is 32 cm^2
(2 x 4^{1/3})^3 is not 12 but 32

anonymous · Answer

Andras is right!

x^3 = 4
doubling the sides means the volume is now (2x)^3
which is 8(x^3)
or 8 x 4 = 32cm^3

anonymous · Answer

cant be its not one of the options

anonymous · Answer

then the question is flawed or is not written correctly here.

anonymous · Answer

length=4^1/3,thefore ,volume will be =(2*4^1/3)^3=32

unklerhaukus · Answer

i made an error in my last line 
...length = 2 x 4^{1/3} cm
cubing 2^3 x 4 = 8 x 4 = 32 cm^3