Final answer:
The height of the water in the vase is 20 cm, calculated by dividing the volume of water in cubic centimeters (2000 cm³) by the base area of the vase (100 cm²).
Step-by-step explanation:
The question asks us to calculate the height of water in a vase when two liters are poured into it. Given that the base area of the vase is 100 square centimeters, and knowing that 1 liter is equivalent to 1000 cubic centimeters, we can use the formula for the volume of a prism (Volume = Base Area × Height) to find the height of the water.
First, we convert the volume of water from liters to cubic centimeters:
- 2 L × 1000 cm³/L = 2000 cm³
Next, we use the volume formula to solve for the height:
2000 cm³ = 100 cm² × Height
Height = 2000 cm³ / 100 cm² = 20 cm
Therefore, the height of the water in the vase is 20 centimeters.