Transforming cuboid

Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?

Result

x =  8.7 cm

Solution:

a=6 cm b=10 cm c=11 cm  V=a⋅ b⋅ c=6⋅ 10⋅ 11=660 cm3  V=x3   x=V3=6603≐8.7066≐8.7 cma=6 \ \text{cm} \ \\ b=10 \ \text{cm} \ \\ c=11 \ \text{cm} \ \\ \ \\ V=a \cdot \ b \cdot \ c=6 \cdot \ 10 \cdot \ 11=660 \ \text{cm}^3 \ \\ \ \\ V=x^3 \ \\ \ \\ \ \\ x=\sqrt[3]{ V}=\sqrt[3]{ 660 } \doteq 8.7066 \doteq 8.7 \ \text{cm}

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