Aglass vase weighs 0.33 lb. how much does a similarly shaped vase of the same glass weigh if each dimension is 5 times as large?

a. 1.65 lb b. 41.25 lb c 8.25 lb d. 206.25 lb

The answer is b. 41.25 lb.

To calculate this, we will use Galileo's square cube law, used to describe the change of the area or the volume of the shape, when their dimensions increase or decrease. The formula used for change of the volume is


V₂ - the volume after the change,
V₁ - the volume before the change,
l₂ - the dimension after the change,
l₁ - the dimension before the change.

We have:
V₂ = ?
V₁ = 0.33 lb
Since each dimension is 5 times as large, then 

Therefore: