Question

You take a break from doing your physics homework and go to the grocery store to buy pasta. The store is out of your favorite kind of pasta so, instead, you buy pasta that is the same shape as your usual pasta but is twice as big in every dimension (twice as long, twice as wide, etc.). One box of the bigger pasta pieces has the same net weight as one box of your usual pasta.
Required:
a. How many of the individual pieces are in one box of the larger pasta?
b. Suppose it takes you 5 tablespoons of olive oil to coal all the pasta in one box of the normal pasta with a thin layer of oil. How many tablespoons of oil will you need in order to coat all the pieces in one box of big pasta with the same thin layer of oil?

Answer 1

Answer:

a)    #_pastes = N / 8 ,  b) 5 tablespoons oil

Explanation:

a) For this exercise we can use the inverse proportions rule. So if each pasta has more volume in the same box size, tame pasta will fit.

Let's find the volume of the new pasta

         V = 2L 2W 2H

         V = 8 L W H

          V = 8 V₀

where V₀ is the volume of the usual pasta and we assume that there is N quantity in the box. therefore for the new pasta

          #_pastas = N V₀ / 8V₀

          #_pastes = N / 8

unfortunately you do not give the number of usual pastes to finish the calculation.

b) Let's analyze the situation, if the size of the box is the same, I initially need 5 tablespoons for charring and then I have the same box I will need the same amount of oil since the number of pastes is less