# 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?

Correct result:

x =  8.7 cm

#### Solution:

$a=6 \ \text{cm} \ \\ b=10 \ \text{cm} \ \\ c=11 \ \text{cm} \ \\ \ \\ V=a \cdot \ b \cdot \ c=6 \cdot \ 10 \cdot \ 11=660 \ \text{cm}^3 \ \\ \ \\ V=x^3 \ \\ \ \\ \ \\ x=\sqrt[3]{ V}=\sqrt[3]{ 660 }=8.7 \ \text{cm}$

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