Body diagonal

The cuboid has a volume of 32 cm3. Its side surface area is double as one of the square bases. What is the length of the body diagonal?

Correct answer:

u =  6 cm

Step-by-step explanation:

V=32 cm2 V=a2 c S1=2 S2 (4 a c)=2 a2 2 a c=a2 2c=a  2c=a 4c2 c=32 c3=8 c=38=2 a=2 c=2 2=4 u=a2+a2+c2=42+42+22=6=6 cm   Verifying Solution:   c=a/2=4/2=2 cm V2=a2 c=42 2=32 cm3 S1=4 a c=4 4 2=32 cm2 S2=a2=42=16 cm2

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