Carcass wrote:
The volume of a cube with edge of length 2 is how many times the volume of a cube with edge of length \(\sqrt{2}\) ?
A. \(\sqrt{2}\)
B. \(2\)
C. \(2 \sqrt{2}\)
D. \(4\)
E. \(8\)
Kudos for the right answer and explanation
Here,
The volume of a cube with edge of length \(2 = 2^3 = 8\)
The volume of a cube with edge of length \( {\sqrt2}= ({\sqrt2})^3 = 2\sqrt2\)
The ques. asks :
volume of a cube with edge of length 2 is how many times the volume of a cube with edge of length \(\sqrt{2}\)i.e \( 8 = x * 2\sqrt{2}\)
or \(x =\frac{ 8}{{2\sqrt{2}}} = 2\sqrt{2}\)