Question

A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cubic inches of water are drained from the container, then the new height of the water is approximately (Blank) inches. If necessary, round to the nearest tenth.

Answer 1

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)