Prism - right isosceles

Find the volume and surface of a prism with a height of 120 mm, the base of which is a right isosceles triangle with a leg length of 5 cm.

Correct answer:

V =  150 cm3
S =  229.8528 cm2

Step-by-step explanation:

h=120 mm cm=120:10  cm=12 cm a=5 cm b=5 cm  c2 = a2+b2  S1=2a b=25 5=225=12.5 cm2  V=S1 h=225 12=225 12=2300=150 cm3
c=2 a=2 5=5 2 cm7.0711 cm  S2=h (a+b+c)=12 (5+5+7.0711)204.8528 cm2  S=2 S1+S2=2 12.5+204.8528=229.8528 cm2

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