Respuesta :
Answer:
[tex]1.128048 \times 10^{25}[/tex] grains of sand are in the Sahara Desert
Step-by-step explanation:
Given :
The Sahara Desert has an area of approximately 9,400,400 sq.km.
Depth = 150 m
To Find :Approximately how many grains of sand are in the Sahara Desert?
Solution:
Area of Sahara desert = 9,400,400 sq.km.
[tex]1 km^2 = 1000000 m^2[/tex]
So, [tex]9,400,400 km^2 = 1000000 \times 9400400 m^2[/tex]
[tex]9,400,400 km^2 =9.4004 \times 10^{12}m^2[/tex]
Volume of sand =[tex]Area \times depth[/tex]
=[tex]1.41006\times 10^{15} m^3[/tex]
[tex]1 m ^3 = 1000000 cm^3[/tex]
So, [tex]1.41006\times 10^{15} m^3 = 1.41006\times 10^{15} \times 1000000cm^3[/tex]
[tex]1.41006\times 10^{15} m^3 =1.41006 \times 10^{21}cm^3[/tex]
1 cubic cm holds grains of sand = 8000
[tex]1.41006 \times 10^{21}cm^3[/tex] holds grains of sand = [tex]1.41006 \times 10^{21} \times 8000[/tex]
= [tex]1.128048 \times 10^{25}[/tex]
Hence [tex]1.128048 \times 10^{25}[/tex] grains of sand are in the Sahara Desert
