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The area of the cardboard(in cm2) needed to make a box of size 25 cm * 15 cm * 8 cm will be__________?

Correct answer: A. 1390 cm2

  • A. 1390 cm2
  • B. 695 cm2
  • C. 1280 cm2
  • D. 1220 cm2

Explanation

For a closed rectangular box, cardboard area is 2(lb + bh + lh). Substituting 25 cm, 15 cm and 8 cm gives 2[(25 cm x 15 cm) + (15 cm x 8 cm) + (25 cm x 8 cm)] = 2(375 + 120 + 200) cm2 = 1390 cm2. The likely alternative is 695 cm2, option b, which is half the total area and effectively counts only three pairs incorrectly.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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