Question

This stadium can hold 100,000, or 1 x 10^5, people. The number of atoms in a grain of iron is about 1 x 10^18. Would you need 1 x 10^10 or 1 x 10^13 stadiums to hold the same number of people as the number of atoms in a grain of iron? Explain your answer.​

Answer 1

1 x 10^13 stadiums

Step-by-step explanation:

From the question;

1 x 10^5 people can fill 1 stadium

We are given, 1 x 10^18 atoms of iron

We are required to determine the number of stadiums that 1 x 10^18 atoms of iron would occupy.

We are going to assume that a stadium would occupy a number of atoms equivalent to the number of people.

Therefore;

One stadium = 1 x 10^5 atoms

Then, to find the number of stadiums that will be occupied by 1 x 10^18 atoms;

No. of stadiums = Total number of atoms ÷ Atoms in a single stadium

= 1 x 10^18 atoms ÷ 1 x 10^5 atoms

= 1 x 10^13 stadiums

Therefore, 1 x 10^18 atoms of iron would occupy 1 x 10^13 stadiums