First, let’s calculate the volume of the tank. To do so, recall the volume formula for a rectangular prism.
V=l•w•h, where V is volume, l is length, w is width, and h is height.
Now, we will calculate the Volume (V) by inputting the corresponding values:
V=(60cm)•(45cm)•(50cm)
Now, we multiply all the values and simplify:
V=135,000cm³
*We use cm³ because Volume is a 3 dimensional measurement.
Now, we know the water in the tank has the same dimensions as the tank (because it’s a liquid), with the exception of its height. So, we know the length and width of the water are equal to those of the tank.
So, since we are given the water’s volume, we can use the formula to solve for h (height) given the length and width are the same as the tank.
V=l•w•h
Input the corresponding variables:
(81,000cm³)=(70cm)•(45cm)•h
Now, we will use Algebra to solve for “h” (height):
Simplify:
81,000=2,700•h
Divide both sides by 3,700:
81,000/2,700=h
30=h
So, the height of the water is 30cm
