Liquid - pouring

We need to pour liquid from two cube-shaped containers into one container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the cube of the common container?

Final Answer:

c =  1.0234 m

Step-by-step explanation:

$$\begin{gathered} a=0.7\text{m} \\ b=0.9\text{m} \\ {V}_1=a^3=0.7^3=\frac{343}{1000}=0.343{\text{m}}^3 \\ {V}_2=b^3=0.9^3=\frac{729}{1000}=0.729{\text{m}}^3 \\ V=V_1+V_2=0.343+0.729=\frac{134}{125}=1.072{\text{m}}^3 \\ V=c^3 \\ c=\sqrt[3]{V}=\sqrt[3]{1.072}=1.0234\text{m} \end{gathered}$$

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