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Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water is this per hour? (Round your answer to the nearest whole number.) cubic feet

Respuesta :

Answer:

16 cubic feet per hour

Step-by-step explanation:

This is simple conversion from inches to feet.

Step 1: Write the scale of conversion

---> quantity of water in 1 minute = 462 cubic inches

--->1 cubic feet = 1728 cubic inches

--->1 hour = 60 minutes,

Step 2: Calculate feet per hour

Quantity of water in 1 hour =  0.0347 x 462

---> quantity of water in 1 hour =  = 16.0314 cubic feet

---> Rounded off to--> 16 cubic feet

Therefore, 462 cubic inches per minute is 16 cubic feet of water per hour

Answer:

16 cubic feet of water

Step-by-step explanation:

Given,

Water leaves the spigot at a rate of 462 cubic inches per minute,

That is, the quantity of water in 1 minute = 462 cubic inches

1 cubic feet = 1728 cubic inches

⇒ 1 cubic inches = [tex]\frac{1}{1728}[/tex] cubic feet,

Thus, the quantity of water in 1 minute = [tex]\frac{462}{1728}[/tex] = [tex]\frac{77}{288}[/tex] cubic feet

Also, 1 hour = 60 minutes,

⇒ 1 minute = [tex]\frac{1}{60}[/tex] hours,

Hence, quantity of water in [tex]\frac{1}{60}[/tex] hour = [tex]\frac{77}{288}[/tex] cubic feet

 quantity of water in 1 hour = [tex]\frac{60\times 77}{288}=\frac{4620}{288}[/tex] = 16.0416666667 cubic feet ≈ 16 cubic feet,

Hence, 16 cubic feet of water is this per hour.