Answer:

9 600

Step-by-step explanation:The container has a height of 90 cm and a capacity of 4.5 liters 1. To calculate the height of a similar container with a volume of 9 cubic meters, we can use the following formula:

height_2 = (volume_2 / area_1) * height_1

where height_1 is the height of the first container, volume_2 is the volume of the second container, and area_1 is the area of the base of the first container.

The area of the base of the first container can be calculated by multiplying its length and width. Since we don’t have information about the length and width, we can assume that they are proportional to the height. Therefore, we can write:

area_1 = k * height_1^2

where k is a constant.

We can find k by using the information that the first container has a capacity of 4.5 liters. Since 1 liter is equal to 1000 cubic centimeters, we have:

capacity_1 = area_1 * height_1 = k * height_1^3 = 4500 cubic centimeters

Solving for k, we get:

k = 4500 / height_1^3

Now we can substitute this expression for k into our formula for height_2:

height_2 = (volume_2 / (k * height_1^2)) * height_1

= (volume_2 / (4500 / height_1))^(1/2) * height_1

= (volume_2 * height_1 / 4500)^(1/2) * height_1

= (9000000 cm^3 * 90 cm / 4500)^(1/2) * 90 cm

≈ 600 cm

Therefore, a similar container with a volume of 9 cubic meters would have a height of approximately 600 cm.