Trapezoidal prism

Calculate the surface of the quadrilateral prism ABCDA'B'C'D 'with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm.
Little help: Draw the trapezoid ABCD and measure its height and the arm AD.

Correct result:

S =  274.301 cm2

Solution:

h=12 cm a=8 cm c=3 cm b=4 cm u=7 cm h1=3.499 cm S1=(a+c) h1/2=(8+3) 3.499/2=19.2445 cm2 d=4.651 cm o=a+b+c+d=8+4+3+4.651=19.651 cm S=o h+2 S1=19.651 12+2 19.2445=274.301 cm2

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