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3 days ago

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The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150

m. One cm3 holds approximately 8,000 grains of sand. a) Approximately how many grains of sand are in the Sahara Desert?

1 answer:

Leona [12K]3 days ago

7 0

Answer:

$1.128048 \times 10^{25}$ an estimate of grains of sand within the Sahara Desert

Step-by-step explanation:

Parameters:

The Sahara Desert spans an approximate area of 9,400,400 sq.km.

Average depth is around 150 m

Objective: Finding the approximate quantity of grains of sand in the Sahara Desert

Solution:

Area of Sahara desert = 9,400,400 sq.km.

$1 km^2 = 1000000 m^2$

Therefore, $9,400,400 km^2 = 1000000 \times 9400400 m^2$

$9,400,400 km^2 =9.4004 \times 10^{12}m^2$

Volume of sand = $Area \times depth$

= $1.41006\times 10^{15} m^3$

$1 m ^3 = 1000000 cm^3$

Afterward, we estimate that

1 cubic cm contains around grains of sand = 8000 $1.41006 \times 10^{21}cm^3$ $1.41006 \times 10^{21} \times 8000$

which gives us the total amount of grains = $1.128048 \times 10^{25}$

= $1.128048 \times 10^{25}$

Hence we approximate the grains of sand present in the Sahara Desert[[TAG_74]]

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