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two containers are mathematically similar.Their volumes are 54cm³ and 128cm³.The height of the smaller container is 4.5cm.Calculate the height of the larger container.

Someone please help,I'm not sure about my approach.I cross multiplied and ended up with the answer 1.90cm

Respuesta :

mathstudent55

Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.