Three cubes

The body was created by gluing three identical cubes. Its volume is 192 cm3. What is its surface in dm2?

Correct result:

S =  2.24 dm2

Solution:

V=192 cm3 V1=V/3=192/3=64 cm3 a=V13=643=4 cm a2=a/10=4/10=25=0.4 dm S1=a22=0.42=425=0.16 dm2 S=3⋅ 6⋅ S1−4⋅ S1=3⋅ 6⋅ 0.16−4⋅ 0.16=5625=5625 dm2=2.24 dm2

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