Square prism

Calculate the volume of a foursided prism 2 dm high, the base is a trapezoid with bases 12 cm, 6 cm, height of 4 cm and 5 cm long arms.

Correct answer:

V =  0.72 dm³

Step-by-step explanation:

$$\begin{gathered} h=2\text{ dm } \\ a=12\text{ cm}\to \text{ dm}=12\mathrm{/}10\text{ dm}=1.2\text{ dm } \\ c=6\text{ cm}\to \text{ dm}=6\mathrm{/}10\text{ dm}=0.6\text{ dm } \\ v=4\text{ cm}\to \text{ dm}=4\mathrm{/}10\text{ dm}=0.4\text{ dm } \\ S=(a+c)\cdot v\mathrm{/}2=(1.2+0.6)\cdot 0.4\mathrm{/}2={\displaystyle \frac{9}{25}}=0.36{\text{dm}}^2 \\ V=S\cdot h=0.36\cdot 2={\displaystyle \frac{18}{25}}={\displaystyle \frac{18}{25}}{\text{dm}}^3=0.72{\text{dm}}^3 \end{gathered}$$

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