Answer:
The weight of the larger marble paperweight is 4.05 lb
Step-by-step explanation:
we know that
If two solids are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube
Remember that the scale factor is the ratio between corresponding sides
Let
z ------> the scale factor
x -----> the weight of the larger marble paperweight
y -----> the weight of the original marble paperweight
[tex]z^{3} =\frac{x}{y}[/tex]
In this problem we have
[tex]z=3[/tex]
[tex]y=0.15\ lb[/tex]
substitute and solve for x
[tex]3^{3} =\frac{x}{0.15}[/tex]
[tex]x=(27)(0.15)=4.05\ lb[/tex]
therefore
The weight of the larger marble paperweight is 4.05 lb
