Question

Find the scale factor of cube with a volume of 729m^3 with a cube with a volume of 2,744m^3

Answer 1

45/7

Explanation:

The ratio of volumes is the cube of the scale factor for similar figures.

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sf³ = (729 m³)/(2.744 m³) = 9³/1.4³

sf = ∛(9³/1.4³) = 9/1.4 = 45/7

The scale factor between the larger and smaller cubes is 45/7.