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?

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

In this problem we have

substitute and solve for x

therefore

The weight of the larger marble paperweight is 4.05 lb

25

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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