Triangular prism,

The regular triangular prism, whose edges are identical, has a surface of 2514 cm ^ 2 (square). Find the volume of this body in cm3 (l).

Correct result:

V =  7180.4472 cm3

Solution:

S=2514 cm2 S1=3/4 a2  S=2 S1+3a a  S=3/2 a2+3a2 S=(3/2+3)a2  a=S3/2+3=25143/2+325.5006 cm  S1=3/4 a2=3/4 25.50062281.5796   V=S1 a=281.5796 25.50067180.4472=7180.4472 cm3   Verifying Solution:  S2=2 S1+3 a2=2 281.5796+3 25.50062=2514 cm2 S2=S



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