IKMC 2018 - Grades 11-12 - Self-study Question 11

Question 11

Two cubes of volumes $V$ and $W$ overlap as shown. 90% of the cube of volume $V$ lies outside the overlap, as does 85% of the cube of volume $W$. What relation holds?

Question illustration

$V=\frac23W$
$V=\frac32W$
$V=\frac{85}{90}W$
$V=\frac{90}{85}W$
$V=W$