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 answer:

V =  432 cm3
S =  480 cm2

Step-by-step explanation:

c=10 cm a=8 cm b=c2a2=10282=6 cm  o=a+b+c=8+6+10=24 cm h=10075 o=10075 24=10075 24=1001800=18 cm  S1=2a b=28 6=24 cm2  V=S1 h=24 18=432 cm3
S=2 S1+o h=2 24+24 18=480 cm2

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