Cuboid walls

The base of the block is a rectangle whose sides have lengths in the ratio 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 result:

V =  1231.2857 l

Solution:

$$\begin{gathered} a:b=13:7 \\ c=1.2\text{ m}\to \text{ dm}=1.2\cdot 10\text{ dm}=12\text{ dm } \\ b=65\text{ cm}\to \text{ dm}=65\mathrm{/}10\text{ dm}=6.5\text{ dm } \\ a={\displaystyle \frac{17}{7}}\cdot b={\displaystyle \frac{17}{7}}\cdot 6.5={\displaystyle \frac{221}{14}}\doteq 15.7857\text{ dm } \\ 1d{m}^3=1l \\ V=a\cdot b\cdot c=15.7857\cdot 6.5\cdot 12={\displaystyle \frac{8619}{7}}=1231.2857\text{ l} \end{gathered}$$

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