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