Emilio is designing the packaging for a new MP3 player. The box for the MP3 player is 5 cm by 3 cm by 2 cm. Emilio needs to find the surface area of the box.
Look at how Emilio solved the problem. Find his error.
STEP 1 : Draw a net.
STEP 2 : Find the areas of all the faces and add them.
Face A : \(3\times2 = \color{red}{6}\text{ cm}^{2}\).
Face B : \(3\times5 = \color{red}{15}\text{ cm}^{2}\).
Face C : \(3\times2 = \color{red}{6}\text{ cm}^{2}\).
Face D : \(3\times5 = \color{red}{15}\text{ cm}^{2}\).
Face E : \(3\times5 = \color{red}{15}\text{ cm}^{2}\).
Face F : \(3\times5 = \color{red}{15}\text{ cm}^{2}\).
The surface area is \(6 + 15 + 6 + 15 + 15 + 15 = \color{red}{72}\text{ cm}^{2}\).
Correct the error. Find the surface area of the prism.