Trapezoidal 6110

Calculate the volume of a 1.3 dm high pyramid with a trapezoidal base. The bases are 2.3 dm and 1.6 dm long, and the pyramid's height is 1.8 dm.

Correct answer:

V =  1.521 dm³

Step-by-step explanation:

$$\begin{gathered} h=1.3\text{dm} \\ a=2.3\text{dm} \\ c=1.6\text{dm} \\ {h}_2=1.8\text{dm} \\ S=h_2\cdot (a+c)/2=1.8\cdot (2.3+1.6)/2=\frac{351}{100}=3.51{\text{dm}}^2 \\ V=S\cdot h/3=3.51\cdot 1.3/3=1.521{\text{dm}}^3 \end{gathered}$$

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