Pole painting calculation

The gardener used 18 poles with a base of 15.15 cm and a height of 150 centimeters to fence the plot. Calculate how much paint he will need to paint the columns twice. One kilogram of paint covers eight square meters.

Final Answer:

m =  4.2525 kg

Step-by-step explanation:

$$\begin{gathered} a=15\text{cm}\to \text{m}=15:100\text{m}=0.15\text{m} \\ h=150\text{cm}\to \text{m}=150:100\text{m}=1.5\text{m} \\ n=18 \\ v=8{\text{m}}^2\text{/kg} \\ {S}_1=2\cdot a^2+4\cdot a\cdot h=2\cdot 0.15^2+4\cdot 0.15\cdot 1.5=\frac{189}{200}=0.945{\text{m}}^2 \\ {S}_2=2\cdot n\cdot S_1=2\cdot 18\cdot 0.945=\frac{1701}{50}=34.02{\text{m}}^2 \\ m=S_2/v=34.02/8=4.2525\text{kg} \end{gathered}$$

Try another example