Multiple choice

From the four corners of a rectangular sheet of dimensions 25 cm x 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is- 25 सेमी. 20 सेमी आयताकार शीट के चारों कोनों से 2 सेमी भुजा के चार वर्ग काटकर एक बॉक्स बना दिया जाता है। बॉक्स का आयतन है।

  1. 828 cm3

  2. 672 cm3

  3. 500 cm3

  4. 1000cm3

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

After cutting 2 cm squares from each corner, the new dimensions are: length = 25 - 2 - 2 = 21 cm, width = 20 - 2 - 2 = 16 cm, and height = 2 cm (the flaps). Volume = length × width × height = 21 × 16 × 2 = 672 cm³. This is a classic optimization/application problem where cutting and folding creates an open box.