Triangular prism

The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism.

Correct result:

V =  432 cm3
S =  480 cm2

Solution:

c=10 cm a=8 cm b=c2a2=10282=6 cm  o=a+b+c=8+6+10=24 cm h=75100 o=75100 24=18 cm  S1=a b2=8 62=24 cm2  V=S1 h=24 18=432 cm3
S=2 S1+o h=2 24+24 18=480 cm2



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