# 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:

$m_{ 1 }=27 \ \text{g} \ \\ a=3 \ \text{cm} \ \\ V_{ 1 }=a^3=3^3=27 \ \text{cm}^3 \ \\ \ \\ b=6 \ \text{cm} \ \\ V_{ 2 }=b^3=6^3=216 \ \text{cm}^3 \ \\ \ \\ m_{2}=m_{ 2 }=m_{ 1 } \cdot \ \dfrac{ V_{ 2 } }{ V_{ 1 } }=27 \cdot \ \dfrac{ 216 }{ 27 }=216 \ \text{g}$

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