Multiple choice

A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is-

  1. $896 cm3$
  2. $1288 cm3$
  3. $985 cm3$
  4. $869 cm3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When 4cm squares are cut from each corner and folded up, the new box dimensions are: length = 40-2(4) = 32cm, width = 15-2(4) = 7cm, height = 4cm. Volume = length × width × height = 32 × 7 × 4 = 896 cm³. This is an optimization problem where cutting squares creates an open box.

Keep practicing — related questions