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A side length of the Rubik's cube is \(6 \ cm\). Calculate the lateral surface area and the total surface area of the Rubik's cube.
Solution:
Edge (side) of a cube \(=\) \(6 \ cm\)
Lateral surface area \(=\) \(4a^2\)
\(=\) \(4 \times 6^2\)
\(=\) \(4 \times 36\)
\(=\) \(144\)
Lateral surface area of the Rubik's cube is \(144 \ cm^2\).
Total surface area \(=\) \(6a^2\)
\(=\) \(6 \times 6^2\)
\(=\) \(6 \times 36\)
\(=\) \(216\)
Total surface area of the Rubik's cube is \(216 \ cm^2\).
Reference:
https://www.shutterstock.com/image-photo/rome-circa-february-2013-example-successfully-1092574646 - Photography by Marco Rubino.