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The population density of worms in a particular field is 25 worms per cubic meter of soil. How many worms would there be in the top meter of soil in a field that has dimensions of 1.00 km by 2.0 km?

1 Answer

Nov 16, 2017

See below...

Explanation:

1 $m^{3} = 1 m . 1 m . 1 m$ $m^3 = 1m . 1m . 1m$ (length x width xheight)
so,
1m height x 1km (width) x 2 km (length)

$\to$ $rarr$ Volume of soil = $1 m . {1.10}^{3} m . {2.10}^{3} m$ $1m . 1.10^3m . 2.10^3m$

$\to V_{soil} = {2.10}^{6} m^{3}$ $rarr V_"soil" = 2.10^6m^3$

25 worms per $m^{3}$ $m^3$ ,

$\to 25 . {2.10}^{6} m^{3} = {5.10}^{7}$ $rarr 25 . 2.10^6m^3= 5.10^7$ worms...

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