Question

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?

Note: Find the volume of container 1 first. Then use the same volume to solve for the missing height of container 2.
Show your work and write your answer on the line in the space below.

Answer 1

9514 1404 393

Answer:

  18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

  V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

  32·18·12 = 24·16·h

  (32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.