ABCDA'B'C'D 6261

The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism.

Correct answer:

S =  256.2862 cm2
V =  276.9975 cm3

Step-by-step explanation:

u1=9.9 cm u2=11.4 cm  u12=a2+a2 u22=a2+a2+c2  c2=u22u12 c=u22u12=11.429.925.6524 cm  u12=a2+a2 a=u1/2=9.9/27.0004 cm b=a=7.00047.0004 cm  S=2 (a b+b c+a c)=2 (7.0004 7.0004+7.0004 5.6524+7.0004 5.6524)=256.2862 cm2
V=a b c=7.0004 7.0004 5.6524=276.9975 cm3



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