A company ships notepads in rectangular boxes that each have inside dimensions

A company ships notepads in rectangular boxes that each have inside dimensions measuring 9 inches long, 9 inches wide, and 12 inches tall. Each notepad is in the shape of a cube with an edge length of 3 inches. What is the maximum number of notepads that will fit in 1 closed box?

  1. 10
  2. 11
  3. 12
  4. 22
  5. 36

Answer

The correct answer is E.

Volume of the rectangular box = lbh

= 9 × 9 × 12 = 972 cubic inches

Volume of notepad = 3 × 3 × 3 = 27 cubic inches

Maximum number of notepads = Volume of box / Volume of notepad

= 972/27

= 36