Answer:
The absolute change in the height of the water is 9.5 inches
Step-by-step explanation:
Given
[tex]l =24in[/tex] --- length
[tex]w = 15in[/tex] --- width
[tex]h =12in[/tex] --- height
[tex]V_1 = 900in^3[/tex] --- the volume removed
Required
The absolute change in the height of the water
First, calculate the base area (b):
[tex]b = l * w[/tex]
[tex]b =24in * 15in[/tex]
[tex]b =360in^2[/tex]
The height of the water that was removed is:
[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area
[tex]H = \frac{900in^3}{360in^2}[/tex]
[tex]H = \frac{900in}{360}[/tex]
[tex]H = 2.5in[/tex]
The absolute change in height is:
[tex]\triangle H = |h - H|[/tex]
[tex]\triangle H = |12in - 2.5in|[/tex]
[tex]\triangle H = |9.5in|[/tex]
[tex]\triangle H = 9.5in[/tex]
