Cuboid

The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid?

Correct answer:

S =  238 cm²

Step-by-step explanation:

$$\begin{gathered} V=abc=245{\text{cm}}^3 \\ 245=5\cdot 7\cdot 7=5\cdot 7^2 \\ V=abc=5\cdot 7\cdot 7 \\ a=5\text{cm} \\ b=7\text{cm} \\ c=7\text{cm} \\ S=2\cdot (a\cdot b+b\cdot c+a\cdot c)=2\cdot (5\cdot 7+7\cdot 7+5\cdot 7)=238{\text{cm}}^2 \end{gathered}$$

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