# Cuboid to cube

A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.

Correct result:

S =  486 cm2

#### Solution:

$a=9 \ \text{cm} \ \\ b=6 \ \text{cm} \ \\ c=4 \ \text{cm} \ \\ \ \\ V=a \cdot \ b \cdot \ c=9 \cdot \ 6 \cdot \ 4=216 \ \text{cm}^3 \ \\ \ \\ V=x^3 \ \\ \ \\ x=\sqrt{ V}=\sqrt{ 216 }=6 \ \text{cm} \ \\ \ \\ S=6 \cdot \ a^2=6 \cdot \ 9^2=486 \ \text{cm}^2$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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