Trapezoidal prism

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

Final Answer:

V =  120 dm³

Step-by-step explanation:

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

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