Respuesta :
The new height of the water container is equal to 66.7 centimeters.
For Container A:
- Height = 40 cm.
- Length = 25 cm.
- Width = 30 cm.
For Container B:
- Length = 18 cm.
- Width = 25 cm.
First of all, we would determine the volume of the water in Container A:
The volume of a rectangular prism.
Mathematically, the volume of a rectangular prism is given by this formula:
[tex]V = L \times W \times H[/tex]
Where:
- V is the volume.
- L is the length.
- W is the width.
- H is the height.
Substituting the given parameters into the formula, we have;
[tex]V = 25 \times 30 \times 40[/tex]
V = 30,000 cubic centimeters.
Note: The volume of the two containers must be the same.
The new height:
[tex]30000=18\times 25 \times h\\\\30000=450h\\\\h=\frac{30000}{450}[/tex]
h = 66.7 centimeters.
Read more on volume of a rectangular prism here: brainly.com/question/3867601