# 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:

$a = 6 \ cm \ \\ b = 10 \ cm \ \\ c = 11 \ cm \ \\ \ \\ V = a \cdot \ b \cdot \ c = 6 \cdot \ 10 \cdot \ 11 = 660 \ cm^3 \ \\ \ \\ V = x^3 \ \\ \ \\ \ \\ x = \sqrt[3]{ V} = \sqrt[3]{ 660 } \doteq 8.7066 = 8.7 \ \text { cm }$

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