Trapezoidal prism

Calculate the volume of a prism with a trapezoidal base with side a = 6dm, side c = 4 dm, height of the prism = 8dm. The height of the trapezoid is va = 3dm.

Correct result:

V =  120 dm³

Solution:

$$\begin{gathered} a=6\text{ dm } \\ c=4\text{ dm } \\ h=8\text{ dm } \\ v=3\text{ dm } \\ S={\displaystyle \frac{a+c}{2}}\cdot v={\displaystyle \frac{6+4}{2}}\cdot 3=15{\text{dm}}^2 \\ V=S\cdot h=15\cdot 8=120{\text{dm}}^3 \end{gathered}$$

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