Cuboid walls

The block's base is a rectangle whose sides have lengths in the ratio of 13:7. Find the volume of the block in liters if the longer side of the base measures 65 cm and the height of the block is 1.2 m

Correct answer:

V =  941.5714 l

Step-by-step explanation:

$$\begin{gathered} a:b=13:7 \\ c=1.2\text{m}\to \text{dm}=1.2\cdot 10\text{dm}=12\text{dm} \\ b=65\text{cm}\to \text{dm}=65:10\text{dm}=6.5\text{dm} \\ a=\frac{13}{7}\cdot b=\frac{13}{7}\cdot \frac{13}{2}=\frac{13\cdot 13}{7\cdot 2}=\frac{169}{14}\doteq 12.0714\text{dm} \\ 1d{m}^3=1l \\ V=a\cdot b\cdot c=\frac{169}{14}\cdot \frac{13}{2}\cdot 12=\frac{6591}{7}\text{l}=941.5714\text{l} \end{gathered}$$

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