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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