Question

The thickness of a quarter is approximately 2 millimeters. How many quarters would you need to make a two kilometer high pile? a. 100,000 c. 1,000,000 b. 2,000,000 d. 4,000,000

Answer 1

We need 1,000,000 quaters to make a two kilometer pile

Solution:

The thickness of a quarter is approximately 2 millimeters

We need to find the quarters needed to make two kilometer high pile

Let us first convert 2 km to millimeters

Use the conversion factor

1 kilometer = 1000000 millimeters

Therefore,

2 kilometer = 2 x 1000000 = 2000000 millimeters

We need 2,000,000 mm to make a 2 km pile

Given that, Each quarter is 2 millimeters thick

thickness of quarter = 2 millimeters

Divide the total milimetres by the thickness of a quarter

$\rightarrow \frac{2000000}{2} = 1000000$

Thus we need 1,000,000 quaters to make a two kilometer pile