Cuboid

The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. Edge length ratio is 7: 5: 3. Calculate the length of the edges.

Correct answer:

a =  98 cm
b =  70 cm
c =  42 cm

Step-by-step explanation:

$$\begin{gathered} s=a+b+c \\ s=210\text{ cm } \\ a:b:c=7:5:3 \\ k=s\mathrm{/}(7+5+3)=210\mathrm{/}(7+5+3)=14\text{ cm } \\ a=7\cdot k=7\cdot 14=98\text{ cm} \end{gathered}$$

$b=5\cdot k=5\cdot 14=70\text{ cm}$

$c=3\cdot k=3\cdot 14=42\text{ cm}$

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