Strawberries - pulp

Marta and Alice bought their children strawberries. They ate most of them, each making pulp from the remaining strawberries. Marta filled her entire cube-shaped container with dimensions 5.2cm, 1dm, and 8.3cm; Alice had a cube-shaped container with an edge length of 63mm. Which one has more strawberry pulp, and by how many milliliters?

Correct answer:

x = Marta
y =  181.553 ml

Step-by-step explanation:

$$\begin{gathered} a=5.2\text{cm} \\ b=1\text{dm}\to \text{cm}=1\cdot 10\text{cm}=10\text{cm} \\ c=8.3\text{cm} \\ {V}_1=a\cdot b\cdot c=5.2\cdot 10\cdot 8.3=\frac{2158}{5}=431\frac{3}{5}=431.6{\text{cm}}^3 \\ w=63\text{mm}\to \text{cm}=63:10\text{cm}=6.3\text{cm} \\ {V}_2=w^3=6.3^3=250.047{\text{cm}}^3 \\ {V}_1>V_2 \\ {V}_3=V_1-V_2=431.6-250.047=181.553{\text{cm}}^3 \\ x=Marta \end{gathered}$$

$y=V_3\to \text{ml}=V_3\cdot 1\text{ml}=181.553\cdot 1\text{ml}=181.553\text{ml}=181.553\text{ml}$

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