# 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

Result

V =  0.09 m3
m =  71.1 kg

#### Solution:

$l = 4 \ \\ a = 15/100 = \dfrac{ 3 }{ 20 } = 0.15 \ \\ V = l \cdot \ a^2 = 4 \cdot \ 0.15^2 = \dfrac{ 9 }{ 100 } = 0.09 = 0.09 \ m^3$
$h = 790 \ \\ m = h \cdot \ V = 790 \cdot \ 0.09 = \dfrac{ 711 }{ 10 } = 71.1 = 71.1 \ \text{ kg }$

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