A rectangular flower vase whose base is 20 cm long and 15 cm wide is half-filled with water. When Michelle placed some stones in the vase, the water rises from 5 cm to 7 cm. What is the volume of the stones that Michelle put in the vase?
P.S. Write your solution
The water level rose 2 cm. So, the volume of the stones is 2*20*15=600 cm^3
This assumes that the stones were completely covered by water.
To find the volume of the stones that Michelle put in the vase, we need to calculate the volume of water that was displaced when the stones were added.
First, let's find the initial volume of water in the vase. The vase is half-filled with water, so the initial volume of water is half the volume of the vase.
The volume of a rectangular solid (or a rectangular vase in this case) is given by the formula: Volume = length × width × height.
In this case, the length of the base is 20 cm, the width is 15 cm, and the height (initial water level) is 5 cm.
The initial volume of water = 20 cm × 15 cm × 5 cm = 1500 cm³.
Now, let's find the final volume of water in the vase after Michelle added the stones. The water level rises from 5 cm to 7 cm, so the final height of the water is 7 cm.
The final volume of water = 20 cm × 15 cm × 7 cm = 2100 cm³.
To find the volume of the stones, we need to subtract the initial volume of water from the final volume of water.
Volume of stones = Final volume of water - Initial volume of water = 2100 cm³ - 1500 cm³ = 600 cm³.
Therefore, the volume of the stones that Michelle put in the vase is 600 cm³.