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Piyush365
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Asked: 2026-09-30T11:23:15+00:00 In:

Find a cuboid with edges whose lengths are integers (in cm), given that it has a total surface area of exactly 100 cm². (i) Is there more than one such cuboid? (ii) Can you find them all? (iii) Show that you have found them all.

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The surface area condition requires lw + wh + hl = 50 for integers l ≥ w ≥ h ≥ 1. Systematic testing gives exactly two integer solutions: dimensions 8 cm × 3 cm × 2 cm and 12 cm × 2 cm × 1 cm.

Class 9 Ganita Manjari Part 2 book Solutions
Chapter 14 Math of Space Surface Area and Volume (Ganita Manjari 2) Solutions

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