Prism height

What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm3. Calculate its surface.

Correct answer:

h =  2.1481 cm
S =  109.4222 cm2

Step-by-step explanation:

a=6 cm b=9 cm c=10.8 cm V=58 cm3  S1=2a b=26 9=27 cm2  V=S1 h  h=V/S1=58/27=2758 cm=2.1481 cm
S2=(a+b+c) h=(6+9+10.8) 2.1481=45249455.4222 cm2  S=2 S1+S2=2 27+55.4222=109.4222 cm2

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