My question is:
The juice company decides to use a box to contain the juice. What is the minimum height of the box if its base measures 10cm by 12cm?
16
To find the minimum height of the box, you need to consider the volume of the juice that needs to be contained within the box.
The volume of a rectangular prism (box) is calculated by multiplying its base area by its height.
Given that the base measures 10cm by 12cm, the area of the base is calculated as follows:
Base Area = length * width
Base Area = 10cm * 12cm = 120 cm²
Let's assume the box needs to contain a certain volume of juice, let's say V cm³.
Now, to find the minimum height, we need to solve for the height (h):
Volume = Base Area * Height
V = 120 cm² * h
To find the minimum height, divide both sides of the equation by 120 cm²:
h = V / 120 cm²
Therefore, the minimum height of the box would be V divided by 120.
Do you have any more questions?
To find the minimum height of the box, we need to consider the volume of the juice that needs to be contained. The volume of a rectangular box is calculated by multiplying its length, width, and height.
Given that the base of the box measures 10cm by 12cm, the area of the base is calculated by multiplying those two values: 10cm * 12cm = 120cm².
Assuming the juice fills the entire box, we want to minimize the height of the box while still containing the juice. Therefore, we need to calculate the height that corresponds to the minimum volume.
To find the minimum height, we need to consider any constraints or conditions given in the question. However, in this case, there are no specific constraints mentioned. Thus, the height of the box can be any positive value.
In summary, there is no minimum height for the box if we assume that it needs to contain the juice and there are no specific constraints given.