A trough is filled with water. The trough holds 315 gallons. Each cubic foot of water contains about 7.5 gallons. The trough is 7 feet long and 4 feet wide. What is the height of the trough?

Respuesta :

Answer:

The height of the trough is about 1.5 ft

Step-by-step explanation:

If each cubic foot of water contains about 7.5 gallons.

Then; 315 gallons is about [tex]\frac{315}{7.5}=42ft^3[/tex]

Let h be the height of the trough, then

[tex]7\times 4\times h=42[/tex]

This implies that;

[tex]28h=42[/tex]

Divide both sides by 28 to get:

[tex]h=\frac{42}{28}[/tex]

[tex]\therefore h=1.5[/tex]

The height of the trough is about 1.5 ft