The length, breadth and height of a cuboid are 50 cm, 40 cm and 30 cm respectively. The cuboid is cut into eight identical parts by three cuts. Find the total surface area of all the eight parts of the cuboid.
1). 18000 cm2
2). 18880 cm2
3). 18080 cm2
4). 18860 cm2
? We cut cuboid along length, breadth and height
∴ The length, breadth and height of new cuboid will be half,
∴ The length of new cuboid L = 50/2 = 25 cm
⇒ Breadth B = 40/2 = 20 cm
⇒ Height H = 30/2 = 15 cm
Total surface area of all the 8 parts of the cuboid
= 8 × 2(LB + BH + HL)
= 16 × (25 × 20 + 20 × 15 + 15 × 25)
= 16 × (500 + 300 + 375)
= 16 × 1175 = 18800 cm2