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.]
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 30 inches.
Let the height of the carton be h
Volume of carton = Length(Breadth)(Height) = 22.5 cubic feet
1 foot = 12 inches
Length = 48 inches = 4 feet
Breadth = 27 inches = 9/4 feet
ATQ -
⇒ 4(h)(9/4) = 22.5
⇒ 9h = 22.5
⇒ h = 2.5 feet = 30 inches