Question

17) A marble paperweight shaped like a pyramid weighs 0.15 lbs. How much does a similarly shaped

marble paperweight weigh if each dimension is three times as large?
​

Answer 1

The weight of the larger marble paperweight is 4.05 lb

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

`z^(3) =(x)/(y)`

In this problem we have

`z=3`

`y=0.15\ lb`

substitute and solve for x

`3^(3) =(x)/(0.15)`

`x=(27)(0.15)=4.05\ lb`

therefore

The weight of the larger marble paperweight is 4.05 lb