Swimming pool 5

A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yards tall. What is the volume of the pool? Round the result to the nearest tenth.

Final Answer:

V =  12 ³⁄₅ = 63/5 yd³

Step-by-step explanation:

$$\begin{gathered} a=3\text{yd} \\ b=2\frac{5}{8}=2+\frac{5}{8}=\frac{2\cdot 8+5}{8}=\frac{16+5}{8}=\frac{21}{8}=2.625\text{yd} \\ c=1\frac{3}{5}=1+\frac{3}{5}=\frac{1\cdot 5+3}{5}=\frac{5+3}{5}=\frac{8}{5}=1.6\text{yd} \\ V=a\cdot b\cdot c=3\cdot \frac{21}{8}\cdot \frac{8}{5}=\frac{63}{5}{\text{yd}}^3=12\frac{3}{5}{\text{yd}}^3=12.6{\text{yd}}^3 \end{gathered}$$

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