Inscribed

Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.

Correct answer:

V =  523.5988 cm³

Step-by-step explanation:

$$\begin{gathered} a=10\text{ cm } \\ r=a\mathrm{/}2=10\mathrm{/}2=5\text{ cm } \\ V={\displaystyle \frac{4}{3}}\cdot \pi \cdot r^3={\displaystyle \frac{4}{3}}\cdot 3.1416\cdot 5^3=523.5988{\text{cm}}^3 \end{gathered}$$

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