Cuboid edges

Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2: 3: 4 and the longest edge measures 10cm.

Correct answer:

V =  375 cm3
S =  325 cm2

Step-by-step explanation:

a:b:c=2:3:4 a<b<c c=10 cm  c=4x x=c/4=10/4=25=2.5 a=2 x=2 25=22 5=210=5 cm b=3 x=3 25=23 5=215=7.5 cm  V=a b c=a 215 c=5 7.5 10=375 cm3
S=2 (a b+b c+a c)=2 (a 215+215 c+a c)=2 (5 7.5+7.5 10+5 10)=325 cm2



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