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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?

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 class=

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annaboglino

Answer:

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 in
  • The width (w) is 18 in
  • The height (h) is 12 in
  • The volume (V) is ? → what we are solving for
  • Plugging 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 in
  • The width (w) is 12 in
  • The height (h) is ? → what we are solving for
  • The 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: [tex]h=\frac{V}{l*w}[/tex]
  • Plugging in the values that we have to our new formula, we get: [tex]h=\frac{7020in^{3} }{(25in)(12in)} =\frac{7020in^3}{300in^2} = 23.4 in[/tex]

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