Question #c829f

Mar 23, 2017

You are working with linear measurements and cubic measurements which are 3-dimensional.

Explanation:

You are working with a linear measurement and a cubic measurement which is 3-dimensional.

To form a direct proportion you have to cube the lengths.

${\left(m\right)}^{3} / {\left(f t\right)}^{3} = {m}^{3} / \left(f {t}^{3}\right)$

${\left(1\right)}^{3} / \left({\left(3.281\right)}^{3}\right) = \frac{x}{3.375} \text{ } \frac{\leftarrow {m}^{3}}{\leftarrow f {t}^{3}}$

Cross multiply

${3.281}^{3} \times x = 3.375$

$x = \frac{3.375}{3.281} ^ 3$

$x = 0.095555$

$x = 9.6 \times {10}^{-} 2 {m}^{3} \text{ }$ (rounded to 2 decimal places)