There are two cuboidal boxes as shown in the adjoining figure. Which b

1.	There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
Answer» We know that, Total surface area of the cuboid = 2 (lh + bh + lb) Total surface area of the cube = 6 (l)² Total surface area of cuboid (a) = [2{(60) (40) + (40) (50) + (50) (60)}] cm² = [2(2400 + 2000 + 3000)] cm² = (2 × 7400) cm² = 14800 cm² Total surface area of cube (b) = 6 (50 cm)²= 15000 cm² Thus, the cuboidal box (a) will require lesser amount of material.

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

Answer»

We know that,

Total surface area of the cuboid = 2 (lh + bh + lb)

Total surface area of the cube = 6 (l)²

Total surface area of cuboid (a) = [2{(60) (40) + (40) (50) + (50) (60)}] cm²

= [2(2400 + 2000 + 3000)] cm²

= (2 × 7400) cm²

= 14800 cm²

Total surface area of cube (b) = 6 (50 cm)²= 15000 cm²

Thus, the cuboidal box (a) will require lesser amount of material.