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We threw a prism with the base of a right triangle with squares 15 × 10 cm and a prism height of 1.5 dm into a 10 l bucket. How much has the volume in the bucket increased?

Correct answer:

V =  1.125 l

Step-by-step explanation:

$$\begin{gathered} V_1=10\text{l}\to {\text{dm}}^3=10\cdot 1{\text{dm}}^3=10{\text{dm}}^3 \\ a=15\text{cm}\to \text{dm}=15:10\text{dm}=1.5\text{dm} \\ b=10\text{cm}\to \text{dm}=10:10\text{dm}=1\text{dm} \\ c=1.5\text{dm} \\ {V}_2=\frac{a\cdot b}{2}\cdot c=\frac{1.5\cdot 1}{2}\cdot 1.5=\frac{9}{8}=1.125{\text{dm}}^3 \\ V=V_2=\frac{9}{8}=\frac{9}{8}\text{l}=1.125\text{l} \end{gathered}$$

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