Monday, April 2, 2007

The Problem Book-4


4.) One one-hundredth of a cubic inch contains two hundred million Atoms. How many will fifty square miles contain?

7 comments:

Kofi said...

253,440,000,000,000,000

whoa......???

Kofi said...

^
two hundred and fifty three quadrillion four hundred and fourty trillion?

Lion's Paw said...

1 mile = 63,360 Inches

63,360 Inches x 50 Miles = 3,168,000.00

3,168,000.00 x 200 Million=

63, 360,000, 000, 000 Atoms

Unknown said...

i got 200,724,485,000 .....

Yusuf said...

ANSWER:
If one one-hundredth of a cubic inch contains two hundred million Atoms, fifty square miles will contain 4,014,489,600,000,000,000,000 Atoms.

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PROOF:
Atoms
1/100 in3 = 200,000,000 Atoms (Multiply by 100 to get 1 in3)
1 in3 = 20,000,000,000 Atoms.

Area
50 mi2 = 1,393,920,000 ft2
1,393,920,000 ft2 = 200,724,480,000 in2.

Mutliply Atoms(in3) x Area(in2)

20,000,000,000 x 200,724,480,000
(Twenty billion, multiplied by, two-hundred billion seven-hundred twenty-four million four-hundred eighty thousand)

= 4,014,489,600,000,000,000,000 Atoms.
(Four sextillion, fourteen quintillion, four-hundred eighty-nine quadrillion, six-hundred trillion Atoms.)
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Unknown said...

CHAT GPT JUST SOLVED THE NATURE OF THE QUESTION AND THE STEPS TO ANALYZE AND SOLVE THE PROBLEM:

To solve the problem, we need to follow these steps:

1. Convert the area of one-tenth of a square inch to square feet:

1 square inch = 1/144 square feet (since there are 144 square inches in one square foot)

1/10 square inch = (1/10) x (1/144) square feet = 1/1440 square feet

2. Find the number of hairs in one square foot:

1/10 square inch contains 10,000 hairs

1 square foot contains (1/1440) x 10,000 = 6.94 hairs (rounded to two decimal places)

3. Find the number of hairs in 14 square feet:

14 square feet contain 14 x 6.94 = 97.16 hairs (rounded to two decimal places)

Therefore, the answer is that the 14 square feet will contain approximately 97.16 hairs.

Unknown said...

Sorry this is this is the answer to number 4…..disregard