Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty. Amalia wants to pour all of the water from Container 1 into Container 2. What must the height of Container 2 be in order for it to hold exactly the same amount of water as Container 1?

23.4 inches

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = l×w×h

First we need to find the volume of Container 1

The length (l) is 32.5 inThe width (w) is 18 inThe height (h) is 12 inThe volume (V) is ? → what we are solving forPlugging in these values into the formula we get: V = (32.5)(18)(12) = 7020 in³

Now that we have the volume for Container 1, we know that Container 2 needs to have the same volume.

Using the same formula as before we can find the height of Container 2

The length (l) is 25 inThe width (w) is 12 inThe height (h) is ? → what we are solving forThe volume (V) is 7020 in³

We will need to manipulate our formula to solve for h now instead of V

To do so, we need to divide both sides of the formula by (l×w) to get: Plugging in the values that we have to our new formula, we get:

Use photo math it it’s so good