Triangular prism

Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm and height of the prism is 0.12 dm.

Correct result:

V =  7.2 cm3
S =  26.4 cm2

Solution:

a=4 cm c=50 mm→ cm=50/10  cm=5 cm h=0.12 dm→ cm=0.12⋅ 10  cm=1.2 cm  b=c2−a2=52−42=3 cm  S1=a⋅ b2=4⋅ 32=6 cm2  V=S1⋅ h=6⋅ 1.2=365=365 cm3=7.2 cm3
o=a+b+c=4+3+5=12 cm  S=2⋅ S1+o⋅ h=2⋅ 6+12⋅ 1.2=1325=1325 cm2=26.4 cm2

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