Final answer:
To find the base area of the cereal box with a given volume of 400 mm^3 and a height of 20 mm, use the formula Base Area = Volume / Height, which results in a base area of 20 mm^2.
Step-by-step explanation:
The question is asking to find the base area of a cereal box given its volume and height. To calculate the base area of a cereal box with a volume of 400 mm^3 and a height of 20 mm, we can use the formula for volume of a rectangular prism, which is Volume = Base Area × Height. We rearrange the formula to solve for the base area: Base Area = Volume / Height.
Plugging in the given values:
- Volume = 400 mm^3
- Height = 20 mm
Now calculate the base area:
Base Area = 400 mm^3 / 20 mm = 20 mm^2
Therefore, the base area of the cereal box is 20 mm^2.