Sugar cubes

A glass holds 600 ml of tea, which represents 80% of its volume. If twenty regular sugar cubes of 2 cm are dropped into the tea, how many ml of tea overflow?

Final Answer:

x =  10 ml

Step-by-step explanation:

$$\begin{gathered} V_1=600\text{ml} \\ r=80\%=\frac{80}{100}=\frac{4}{5}=0.8 \\ {V}_1=V\cdot r \\ V=V_1/r=600/0.8=750\text{ml} \\ a=2\text{cm} \\ {V}_2=2^3=8{\text{cm}}^3 \\ {V}_3=V_2\to \text{ml}=V_2\cdot 1\text{ml}=8\cdot 1\text{ml}=8\text{ml} \\ {V}_4=20\cdot V_3=20\cdot 8=160\text{ml} \\ x=V_1+V_4-V=600+160-750=10\text{ml} \end{gathered}$$

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