A butter

A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm² the package is larger than the surface of the cube.

Correct answer:

x =  166.5 cm²

Step-by-step explanation:

$$\begin{gathered} a=6.5\text{ cm } \\ x=28=166.5\text{ cm } \\ y=15\text{ cm } \\ {S}_1=6\cdot a^2=6\cdot 6.5^2={\displaystyle \frac{507}{2}}=253.5{\text{cm}}^2 \\ {S}_2=x\cdot y=166.5\cdot 15=420{\text{cm}}^2 \\ x=S_2-S_1=420-253.5=166.5{\text{cm}}^2 \end{gathered}$$

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