175k views
3 votes
A certain part of an aircraft engine has a volume of 2.7ft³ . (a) Find the weight of the piece when it is made of copper. Ib (b) If the same piece is made of aluminum, what is its weight? Ib Determine how much weight is saved by using aluminum instead of copper. Ib

1 Answer

6 votes

Final answer:

The weight of the copper piece is 1508.7 lb and the weight of the aluminum piece is 456.3 lb. By using aluminum instead of copper, a weight of 1052.4 lb is saved.

Step-by-step explanation:

To find the weight of a piece made of copper, we need to use the formula:

Weight = Volume * Density

Given that the volume is 2.7 ft³ and the density of copper is 559 lb/ft³, we can calculate the weight as:

Weight = 2.7 ft³ * 559 lb/ft³ = 1508.7 lb

For the aluminum piece, we can use the same formula with the density of aluminum being 169 lb/ft³:

Weight = 2.7 ft³ * 169 lb/ft³ = 456.3 lb

To determine the weight saved by using aluminum instead of copper, we can subtract the weight of the aluminum piece from the weight of the copper piece:

Weight saved = Weight of copper - Weight of aluminum = 1508.7 lb - 456.3 lb = 1052.4 lb

User Alexmulo
by
9.3k points