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14 days ago

6

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 answe

r to the nearest whole number.) cubic feet

2 answers:

tester [12.3K]14 days ago

5 0

Answer:

16 cubic feet per hour

Step-by-step explanation:

This involves a straightforward conversion from inches to feet.

Step 1: Establish the conversion scale

---> the volume of water in 1 minute is 462 cubic inches

--->1 cubic foot = 1728 cubic inches

--->1 hour consists of 60 minutes,

Step 2: Determine the volume in feet per hour

Volume of water in one hour = 0.0347 x 462

---> the amount of water in 1 hour = = 16.0314 cubic feet

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

Thus, 462 cubic inches per minute equates to 16 cubic feet of water on an hourly basis

PIT_PIT [12.4K]14 days ago

3 0

Answer:

16 cubic feet of water

Step-by-step explanation:

According to the information given,

Water exits the spigot at 462 cubic inches per minute,

indicating that in one minute, the volume of water is 462 cubic inches

1 cubic foot is equal to 1728 cubic inches

implying that 1 cubic inch corresponds to $\frac{1}{1728}$ cubic feet,

therefore, in one minute the volume of water translates to $\frac{462}{1728}$ = $\frac{77}{288}$ cubic feet

Moreover, 1 hour consists of 60 minutes,

so, 1 minute becomes $\frac{1}{60}$ hours,

thus, the water amount in $\frac{1}{60}$ hour equals $\frac{77}{288}$ cubic feet

hence the water volume for one hour amounts to $\frac{60\times 77}{288}=\frac{4620}{288}$ = 16.0416666667 cubic feet, rounding to approximately 16 cubic feet

Consequently, 16 cubic feet of water corresponds to this per hour.

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