Wood lumber

Wooden lumber is 4 m long and has a cross section square with side 15 cm.

Calculate:
a) the volume of lumber
b) the weight of the lumber if 1 m³ weighs 790 kg

Correct result:

V =  0.09 m³
m =  71.1 kg

Solution:

$$\begin{gathered} l=4 \\ a=15\mathrm{/}100={\displaystyle \frac{3}{20}}=0.15 \\ V=l\cdot a^2=4\cdot 0.15^2={\displaystyle \frac{9}{100}}={\displaystyle \frac{9}{100}}{\text{m}}^3=0.09{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} h=790 \\ m=h\cdot V=790\cdot 0.09={\displaystyle \frac{711}{10}}={\displaystyle \frac{711}{10}}\text{ kg}=71.1\text{ kg} \end{gathered}$$

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