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.

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

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk