Cube: A customer buys a few tropical fish and a small cubic fish tank of side 1dm (= 10cm) holding 1 liter of water. After the fish have grown, he returns to buy a mid-size fish tank of side 2dm. Later on, a large fish tank of side 3dm is purchased to add the undersea sculptures. As shown in table 3, the mid-size fish tank holds not 2 but 8 liters of water, and the large fish tank 27 liters of water. From the plot of x versus y in figure 4, the slope turns out the dimension of a cube, as we already know.

Table 3. The holding capacity of fish tanks

Side of fish tank in decimeter (x) 1 2 3
No. of liters (y) 1 8 27

Figure 4. Log-log plot of table 3

 

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