Question

Two containers are mathematically similar. Their volumes are 54 cm3 and 128cm3.

The height ofthe s maller containeris 4.5cm.
Calculate the height of the larger container.

Answer 1

6 cm

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.