Martens got a small aquarium forgot her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martens put 3885cm cubes of water in the aquarium. How deep is the water?

Respuesta :

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.