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

16 cubic feet of water

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 =
`(1)/(1728)` cubic feet,

Thus, the quantity of water in 1 minute =
`(462)/(1728)` =
`(77)/(288)` cubic feet

Also, 1 hour = 60 minutes,

⇒ 1 minute =
`(1)/(60)` hours,

Hence, quantity of water in
`(1)/(60)` hour =
`(77)/(288)` cubic feet

⇒ quantity of water in 1 hour =
`(60* 77)/(288)=(4620)/(288)` = 16.0416666667 cubic feet ≈ 16 cubic feet,

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

Answer 2

16 cubic feet per hour

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