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The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is________?

Correct answer: D. 6.832 kg

  • A. 8.56 kg
  • B. 7.76 kg
  • C. 7.756 kg
  • D. 6.832 kg

Explanation

Taking 52 cm x 40 cm x 29 cm as the outside dimensions of an open box, the inside dimensions are 48 cm x 36 cm x 27 cm because the 2 cm thickness is removed from both walls and the base. Metal volume is (52 x 40 x 29 - 48 x 36 x 27) cm3 = 13,664 cm3, and its weight is 13,664 cm3 x 0.5 g/cm3 = 6832 g = 6.832 kg. Students may choose 7.756 kg, option c, by treating the box as closed or subtracting the thickness incorrectly.

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