A 9 cm sold metallic cube and a solid mettallic cuboid having dimemsions 5 cm, 13 cm, 31 cm, are melted and recast into a single cube. What is the total surface area ( in cm ) of the new cube?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1176
Side of the cube = 9 cm
Area of the cube = a3 = 93 = 729 cm3
DImensions of the cuboid
l = 5 cm, b= 13 cm, h = 31 cm
Area of the cuboid = lbh = 5 × 13 × 31 = 2015 cm3
Volume of recast single cube A3 = 729 + 2015 = 2744 cm3
A3 = 2744 cm3
Side of the recast cube A = 14 cm
Total surface area of the cube = 6A2 = 6 × 14 × 14
= 1176 cm2