Respuesta :
Answer:
The height of the rock is 15 mm.
Step-by-step explanation:
Given : Cristian put a large rock on the bottom of the terrarium he made for his pet turtle.
To find : How high is the rock?
Solution :
The rock is a right rectangular prism 10 cm wide by 12 cm long.
Let the height be 'h'.
The volume of the right rectangular prism is [tex]V=L\times B\times H[/tex]
i.e. [tex]V=10\times 12\times h[/tex]
[tex]V=120h[/tex]
The rock displaces 1800 cm³ of water.
i.e. The volume of the right rectangular prism is equal to the rock displaces of water.
So, [tex]120h=1800[/tex]
[tex]h=\frac{1800}{120}[/tex]
[tex]h=15[/tex]
Therefore, the height of the rock is 15 mm.
