Question

Anna beth has two fish tanks. They are both cubes. The side length of one of the tanks is 15 cm. The side length of the other is 45 cm. What is the ratio of the volume of the smaller tank compared to the volume of the larger tank?

Answer 1

• 1/27

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The ratio of the corresponding sides gives us the scale factor:

• k = 15/45 = 1/3

The volume is the product of three dimensions, hence the ratio of the volumes is cube of the scale factor:

• Ratio of volumes = (1/3)³ = 1/27