Cube corners

We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes?

Final Answer:

V =  936 cm³

Step-by-step explanation:

$$\begin{gathered} a=10\text{cm} \\ b=2\text{cm} \\ {V}_1=a^3=10^3=1000{\text{cm}}^3 \\ {V}_2=b^3=2^3=8{\text{cm}}^3 \\ V=V_1-8\cdot V_2=1000-8\cdot 8=936{\text{cm}}^3 \end{gathered}$$

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