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

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

                                               =3840  cubic inches

According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

⇔-320 x = -2990

$\Leftrightarrow x =\frac{2990}{320}$

⇔x = 9.34 inches

The new height of the water is = 9.34 inches (approx)