The base of a perpendicular triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism, if its volume is 54 cubic centimeters?

Correct answer:

S =  99 cm2

Step-by-step explanation:

a=4.5 cm b=6 cm  S1=a b/2=4.5 6/2=227=13.5 cm2 V=54 cm3 h=V/S1=54/13.5=4 cm  c=a2+b2=4.52+62=215=7.5 S=2 S1+(a+b+c) h=2 13.5+(4.5+6+7.5) 4=99 cm2

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