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

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 $V=L\times B\times H$

i.e. $V=10\times 12\times h$

$V=120h$

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, $120h=1800$

$h=\frac{1800}{120}$

$h=15$

Therefore, the height of the rock is 15 mm.

Answer 2

The exact answer is going to be equal to 15mm

Hope this helped