Three cubes each of volume 4096 cm3 are joined end to end to form a new solid. What is the surface area of the new solid?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 3584 cm2
Given that
Three cubes each of volume 4096 cm3 are joined end to end to form a new solid (cuboid)
Let the length of the new solid (cuboid) be L
Formula used
Volume of cube = side3
Volume of cuboid = Lbh
Surface area of cuboid = 2 (Lb + bh + hL)
According to the question
Side3 = 4096
Side of cube = 16 cm
So, the breadth and the height of cuboid is 16 cm
length of the cuboid L = 3 × 16 = 48 cm
Surface area of cuboid = 2 (Lb + bh + hL) = 2 (48 × 16 + 16 × 16 + 16 × 48) = 3584 cm2