A plasticine

Jožko modeled from plasticine. He used 27g of plasticine to model a 3 cm long cube. How many grams of plasticine will it need to mold cubes with an edge of 6cm?

Result

m2 =  216 g

Solution:

m1=27 g a=3 cm V1=a3=33=27 cm3  b=6 cm V2=b3=63=216 cm3  m2=m1 V2V1=27 21627=216=216  g m_{ 1 } = 27 \ g \ \\ a = 3 \ cm \ \\ V_{ 1 } = a^3 = 3^3 = 27 \ cm^3 \ \\ \ \\ b = 6 \ cm \ \\ V_{ 2 } = b^3 = 6^3 = 216 \ cm^3 \ \\ \ \\ m_{ 2 } = m_{ 1 } \cdot \ \dfrac{ V_{ 2 } }{ V_{ 1 } } = 27 \cdot \ \dfrac{ 216 }{ 27 } = 216 = 216 \ \text{ g }



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