Problem: The contents of one 40-lb bag of topsoil will cover 10. square feet of ground to a depth of 1.0 inch. How many bags areneeded to cover a plot that measures 200. by 300. m to a depth of 4.0 cm?

🤓 Based on our data, we think this question is relevant for Professor Guerra's class at RUTGERS.

FREE Expert Solution

${\mathbf{\left(}\frac{\mathbf{m}\mathbf{a}\mathbf{s}\mathbf{s}}{\mathbf{v}\mathbf{o}\mathbf{l}\mathbf{u}\mathbf{m}\mathbf{e}}\mathbf{\right)}}_{\mathbf{1}}\mathbf{=}{\mathbf{\left(}\frac{\mathbf{mass}}{\mathbf{volume}}\mathbf{\right)}}_{\mathbf{2}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\overline{){{\mathbf{mass}}}_{{\mathbf{2}}}{\mathbf{=}}\frac{{\mathbf{mass}}_{\mathbf{1}}\mathbf{×}{\mathbf{volume}}_{\mathbf{2}}}{{\mathbf{volume}}_{\mathbf{1}}}}$

$\overline{){\mathbf{Volume}}{\mathbf{=}}{\mathbf{l}}{\mathbf{×}}{\mathbf{w}}{\mathbf{×}}{\mathbf{h}}{\mathbf{=}}{\mathbf{Area}}{\mathbf{×}}{\mathbf{depth}}}$

Problem Details

The contents of one 40-lb bag of topsoil will cover 10. square feet of ground to a depth of 1.0 inch. How many bags are
needed to cover a plot that measures 200. by 300. m to a depth of 4.0 cm?