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 =  1231.2857 l

Step-by-step explanation:

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

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