Mensuration

Question

There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?


Answer

Total surface area of the cuboid (a) = 2[lb + bh + hl]
                                                          = 2 [(60 x 40) + (40 x 50) + (50 x 60)] cm2
                                                          = 2[2400 + 2000 + 3000] cm2
                                                           = 2[7400 cm2] = 14800 cm2

Total surface area of the cuboid (b) = 2[lb + hh + hl]
                                                         = 2[(50 x 50) + (50 x 50) + (50 x 50)]
                                                         = 2[2500 + 2500 + 2500] cm2
                                                         = 2 [ 7500 cm2] = 15000 cm2
Since the total surface area  of the second (b) is true.
∴  Cuboid (a) will require lesser material.

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