Quadrilateral 24161

Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated?

Correct answer:

V =  1050 cm3
S =  769.4102 cm2

Step-by-step explanation:

a=10 cm c=4 cm v=6 cm h=25 cm  S1=2a+c v=210+4 6=42 cm2  V=S1 h=42 25=1050 cm3
x=(ac)/2=(104)/2=3 cm r=x2+v2=32+62=3 5 cm6.7082 cm  o=a+c+2 r=10+4+2 6.708227.4164 cm  S2=o h=27.4164 25685.4102 cm2  S=2 S1+S2=2 42+685.4102=769.4102 cm2

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