Prism

Calculate the volume of the rhombic prism. Base of prism is rhombus whose one diagonal is 47 cm and the edge of the base is 28 cm. The edge length of the base of the prism and height is 3:5.


Correct result:

V =  33389.9 cm³

Solution:

$$\begin{gathered} a=28cm \\ a:h=3:5 \\ h={\displaystyle \frac{5}{3}}a=46.67cm \\ s={\displaystyle \frac{a+a+u}{2}}=51.5 \\ S=\sqrt{s(s-a)(s-a)(s-u)}=357.75c{m}^2 \\ V=2S_{1}h=33389.9{\text{cm}}^3 \end{gathered}$$

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