Question

9-43. At the movies, Maurice counted the number of kernels of popcorn that filled his tub and found that it had 320 kernels. He decided that next time, he will get an enlarged tub that is similar, but has a linear scale factor of 1.5. How many kernels of popcorn should the enlarged tub hold?

Answer 1

Answer: number of kernels held by the enlarged tub = 1080

Step-by-step explanation:

In this scenario, we are dealing with volume.

From the lnformation given,

linear scale = 1.5

This means that the ratio of the linear dimensions of the enlarged tub to the small tub is 1.5/1

Therefore, the ratio of the volume of the enlarged tub to the small tub is (1.5/1)^3

= 3.375

Given that the small tub held 320 kernels,

number of kernels held by the enlarged tub = 320 x 3.375

number of kernels held by the enlarged tub = 1080