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Travka [436]
3 years ago
9

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

culate the height of the larger container.
Mathematics
1 answer:
Ivenika [448]3 years ago
6 0

Answer:

the height of the larger container is 6 cm

Step-by-step explanation:

The computation of the height of the large container is shown below:

In the case when the factor of linear scale for two solid be k

So the factor of volume scale be k^3

Now the volume scale factor is

= 128 ÷ 54

= 64 ÷ 27

= (4 ÷ 3)^3

Now the height of the large container is

= 4.5 cm × 4 ÷ 3

= 6 cm

hence, the height of the larger container is 6 cm

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