Question

Two glass containers are shown. Both are right rectangular prisms.

Container 1 is filled with water and Container 2 is empty.

Amelia 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.

Answer 1

18 inches

Explanation:

first find the volume of container 1 so 32*18*12=6912

now multiply the width and length of container 2 24*16=384 now do 6912 divided by 384 to get a height of 18 inches

Answer 2

18 inches

Explanation:

So first we need to find the volume of the first container:

V= L • W • H

V= 32 • 18 • 12

V= 6,912

Now that we have that we look at what we already have for contain 2:

V= L • W • H

V= 24 • 16 • ?

So, now we’d multiply the Length and Width to get 384. Now that we have that we divide 6,912 by 384 because since we already have the wanted volume we can use what we have to find the height.

6,912/ 384 = 18

Check your work:

V= 24 • 16 • 18

V= 6,912

Therefore our given answer! I hope this have a clear explanation and helped you! Good luck :D