Suppose gold bars are made such that they are cubic. If they are made cubic, then there volume is given by V = L3, where L is the length of a side of the bar. The price of any gold bar is directly proportional to its volume, so the price of the gold is P = c V, where c is some number (a constant) and V is the volume. Suppose a gold bar of some size has a price of $8,420.1 dollars. If another gold bar had sides which were a factor of 2.9 times smaller than the bar which has a price of $8,420.1 dollars, what would be the cost of this smaller bar in dollars ($)?

Question

Suppose gold bars are made such that they are cubic.  If they are made cubic, then there volume is given by V = L3, where L is the length of a side of the bar.   The price of any gold bar is directly proportional to its volume, so the price of the gold is P = c V, where c is some number (a constant) and V is the volume.  Suppose a gold bar of some size has a price of $8,420.1 dollars.  If another gold bar had sides which were a factor of 2.9 times smaller than the bar which has a price of $8,420.1 dollars, what would be the cost of this smaller bar in dollars ($)?

Henry · Answer

C = 8,420.10/2.9 =