Triangular prism

Calculate the volume and surface of the triangular prism ABCDEF with base of a isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm.

Correct result:

V =  432 cm³
S =  420 cm²

Solution:

$$\begin{gathered} a=16\text{ cm } \\ r=10\text{ cm } \\ v=6\text{ cm } \\ h=9\text{ cm } \\ {S}_1=a\cdot v\mathrm{/}2=16\cdot 6\mathrm{/}2=48{\text{cm}}^2 \\ V=S_1\cdot h=48\cdot 9=432{\text{cm}}^3 \end{gathered}$$

$$\begin{gathered} o=a+2\cdot r=16+2\cdot 10=36 \\ {S}_2=o\cdot h=36\cdot 9=324 \\ S=S_2+2\cdot S_1=324+2\cdot 48=420{\text{cm}}^2 \end{gathered}$$

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