Quadrilateral 8060

The volume of the cuboid is 864 mm3. Its square shape has the same content as the base of a quadrilateral prism with the dimensions of the base 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Determine the surface areas of both bodies.

Correct answer:

S1 =  0.4354 cm2
S2 =  606 cm2

Step-by-step explanation:

a=7 cm b=9 cm c=15 cm  S=a b=7 9=63 cm2  V1=864 mm3 cm3=864:1000  cm3=0.864 cm3 c1=V1/S=0.864/63=875120.0137 cm a1=S=63=3 7 cm7.9373 cm  S1=2 S2+4 a1 c1=2 S2+4 7.9373 0.0137=0.4354 cm2
S2=2 (a b+b c+a c)=2 (7 9+9 15+7 15)=606 cm2

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