Question

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

Answer 1

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 2

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 = $\frac{1}{1728}$ cubic feet,

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

Also, 1 hour = 60 minutes,

⇒ 1 minute = $\frac{1}{60}$ hours,

Hence, quantity of water in $\frac{1}{60}$ hour = $\frac{77}{288}$ cubic feet

⇒  quantity of water in 1 hour = $\frac{60\times 77}{288}=\frac{4620}{288}$ = 16.0416666667 cubic feet ≈ 16 cubic feet,

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