Prism

Calculate the volume of the rhombic prism. The prism base is a 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 answer:

V =  33389.9 cm³

Step-by-step explanation:

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

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