Question
Download Solution PDFTo 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.]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIVEN:
Cartons having length = 48 inches and breadth = 27 inches
The volume of cartoon = 22.5 cubic feet.
FORMULA USED :
Volume of Cuboid = Length × Breadth × Height
CALCULATION :
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.
∴ The height of each cartoon is 30 inches.
Last updated on May 28, 2025
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