Question

The weight of water is 62 1/2 lb per cubic foot. Water that weighs 100 lb will fill how many cubic feet?

Answer 1

Step-by-step explanation:

To solve:

Note that: " 62
`(1)/(2)` lbs. " ;

↔ can be written as: " 62.5 lbs. " .

→ {since:

→ " (
`(1)/(2)`)" = "(1 * 5) / (2 * 5)" = "(
`(5)/(10)`)" ;

= " 0.5 " (written as a decimal).

→ And as such:

→ " 62
`(1)/(2)` " = " 62 + 0.5 " = " 62.5 " .

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→ Note that "cubic feet" ; or "cubic foot" ;

→ is a measurement of "volume" ; and can be written as: " ft³ " .

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Using a technique known as "dimensional analysis" ; as follows:

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→ 100 lb *
`(1 ft^3)/(62.5 lb)` = __?__ ft³

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→ The units of: "lb." cancel out (to " 1 " ) ;

→ {since: "(
`(lb.)/(lb.)`)" = " 1 " .}.

→ And we have:

→ "(

`(100)/(62.5)`)"