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 result:

a =  98 cm
b =  70 cm
c =  42 cm

Solution:

s=a+b+c s=210 cm  a:b:c=7:5:3  k=s/(7+5+3)=210/(7+5+3)=14 cm  a=7⋅ k=7⋅ 14=98 cm
b=5⋅ k=5⋅ 14=70 cm
c=3⋅ k=3⋅ 14=42 cm

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