a tank is made in the shape of a rectangular prism, measuring 12 cm by 16 cm by 10 cm.It is full of water.A small rectangular prism measuring 2 cm by 3 cm by 4 cm is dropped into the full tank. What is the amout of water which overflows?
Does the smaller prism float or sink? If it sinks,
2 * 3 * 4 = ? cc
To calculate the amount of water that overflows from the tank, we need to first find the volume of the tank and the volume of the small rectangular prism.
The volume of a rectangular prism is found by multiplying its length, width, and height.
For the tank, the length is 12 cm, the width is 16 cm, and the height is 10 cm. Therefore, the volume of the tank is:
Volume of tank = length x width x height
= 12 cm x 16 cm x 10 cm
= 1920 cm³
Now, let's calculate the volume of the small rectangular prism. Like before, we multiply its length, width, and height.
For the small rectangular prism, the length is 2 cm, the width is 3 cm, and the height is 4 cm. Therefore, the volume of the small rectangular prism is:
Volume of small rectangular prism = length x width x height
= 2 cm x 3 cm x 4 cm
= 24 cm³
Since the small rectangular prism is dropped into a full tank, it displaces an equivalent volume of water. Therefore, the amount of water that overflows is equal to the volume of the small rectangular prism, which is 24 cm³.