Question
To pack a set of books, Gautam got cartons of a certain
height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]Solution
ATQ, Volume of carton = volume of cuboid = Length × Breadth × Height ⇒ volume of carton = 48 × 27 × Height ∵ 1 foot = 12 inches, then 22.5 cubic feet = 22.5 × 12 × 12 ×12 ⇒ 22.5 × 12 × 12 × 12 = 48 × 27 × Height   ⇒ 38,880 = 1,296 × Height ⇒ Height = 30 inches.
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