Question

Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism 10\text{ cm}10 cm10, start text, space, c, m, end text wide by 12\text{ cm}12 cm12, start text, space, c, m, end text long. The rock displaces 1800 \text{ cm}^31800 cm 3 1800, start text, space, c, m, end text, cubed of water. How high is the rock?

Answer 1

The exact answer is going to be equal to 15mm

Hope this helped

Answer 2

The height of the rock is 15 mm.

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
`V=L* B* H`

i.e.
`V=10* 12* h`

`V=120h`

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,
`120h=1800`

`h=(1800)/(120)`

`h=15`

Therefore, the height of the rock is 15 mm.