Decimetres 6341

We cut identical cubes with an edge length of 2 cm from two corners from a wooden cube with an edge of 0.6 decimetres. How many cubes with an edge length of 2 cm can still be cut from a wooden cube?

Correct answer:

n =  25

Step-by-step explanation:

$$\begin{gathered} a=0.6\text{dm}\to \text{cm}=0.6\cdot 10\text{cm}=6\text{cm} \\ {a}_1=2\text{cm} \\ {V}_1=a^3=6^3=216{\text{cm}}^3 \\ {V}_2=a_1^3=2^3=8{\text{cm}}^3 \\ n=V_1/V_2-2=216/8-2=25 \end{gathered}$$

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