Inscribed

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

Result

V =  523.599 cm3

Solution:

a=10 cm r=a/2=10/2=5 cm V=43⋅ π⋅ r3=43⋅ 3.1416⋅ 53≐523.5988≐523.599 cm3a=10 \ \text{cm} \ \\ r=a/2=10/2=5 \ \text{cm} \ \\ V=\dfrac{ 4 }{ 3 } \cdot \ \pi \cdot \ r^3=\dfrac{ 4 }{ 3 } \cdot \ 3.1416 \cdot \ 5^3 \doteq 523.5988 \doteq 523.599 \ \text{cm}^3

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