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.]
Answer & explanation
Correct answer: option 3
We know that,
Volume of Cuboid = Length × Breadth × Height
Given,
Cartons having length = 48 inches
breadth = 27 inches
The volume of cartoon = 22.5 cubic feet.
Here,
Volume of carton = volume of cuboid
= volume of carton = 48 × 27 × Height
= 22.5 cubic feet = 22.5 × 12 × 12 ×12 (1 foot = 12 inches)
= 22.5 × 12 × 12 × 12 = 48 × 27 × Height
= 38880 = 1296 × Height
= Height = 30 inches.