Answer:
Depth of Martens aquarium water = 14 cm.
Step-by-step explanation:
Given:
An aquarium,which is a right rectangular prism.
Length of the aquarium, [tex]l[/tex] = 18.5 cm
Width of the aquarium, [tex]b[/tex] = 15 cm
Volume of the aquarium, [tex]V[/tex] = 3885 cm cubes
We have to find the depth of the aquarium.
Let the depth be [tex]h[/tex] cm.
Note:
Volume of the rectangular prism,V=lbh.
⇒ [tex]V[/tex] = [tex]l\times b\times h[/tex]
⇒ [tex]h=\frac{V}{l\times b}[/tex]
⇒ Plugging the values.
⇒ [tex]h=\frac{3885\ cm^3}{18.5\ cm\times 15\ cm}[/tex]
⇒ [tex]h=14[/tex] cm
So,
The depth of the aquarium water is 14 cm.