Tetrahedral prism

Calculate surface and volume tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are: a = 12 cm, b = 7 cm, ha = 6 cm and prism height h = 10 cm.

Correct result:

S =  524 cm2
V =  720 cm3

Solution:

a=12 cm b=7 cm v=6 cm h=10 cm  S1=a⋅ v=12⋅ 6=72 cm2 S2=h⋅ (2⋅ a+2⋅ b)=10⋅ (2⋅ 12+2⋅ 7)=380 cm2  S=2⋅ S1+S2=2⋅ 72+380=524 cm2
V=S1⋅ h=72⋅ 10=720 cm3

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