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From each of the four corners of a rectangular sheet of dimensions 25 cm \(\times\) 20 cm, a square of side 2 cm is cut off and an open box is made. The volume of the box is:

Question and options

From each of the four corners of a rectangular sheet of dimensions 25 cm ×\times 20 cm, a square of side 2 cm is cut off and an open box is made. The volume of the box is:
  1. 828 cm3^3
  2. 672 cm3^3
  3. 500 cm3^3
  4. 1000 cm3^3

Answer and explanation

Correct answer: B - 672 cm\(^3\)
Box dimensions: (25-4) x (20-4) x 2 = 21 x 16 x 2 = 672 cm^3. Cutting the squares shortens each side by twice 2 cm, and the folded flaps give a height of 2 cm.

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