A 9 cm solid metallic cube and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted and recast into a single cube. What is the total surface area (in cm2)of the new cube?
Answer & explanation
Correct answer: option 2
We know that,
Side of cube = 9 cm
We have,
Length = 5 cm
breadth = 13 cm
height = 31 cm
Volume of Solid metallic cube = 93 = 729 cm3
Volume of Solid metallic cuboid = 5 × 13 × 31 = 2015 cm3
Volume cube = Volume of Solid metallic cube + Volume of Solid metallic cuboid= 729 + 2015 = 2744 cm3
Side of cube = (a)3 = 2744
a = 14 cm
Total surface area of cube = 6 × 14 × 14 = 1176 cm2