Answer:
The new height of the water is approximately 9.3 inches.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Measurements of the container:
Length = 20 inches
Width = 16 inches
Height = 12 inches
Amount of water drained from the container = 850 inches³
2. What is the new height of the water in inches?. If necessary, round to the nearest tenth.
Let's calculate the volume of the container, as follows:
Volume = Length * Width * Height
Volume = 20 * 16 * 12
Volume = 3,840 inches³
Now, let's subtract the volume of the water drained:
Volume = 3,840 - 850 = 2,990 inches³
We do know the length and the width and can calculate the value of the new height, this way:
Volume = Length * Width * Height
2,990 = 20 * 16 * Height
320 * Height = 2,990
Height = 2,990/320
Height = 9.3 (rounding to the nearest tenth)
