Four cubes each of volume 216 cubic cm are joined end to end to form a new solid. The surface area of the new solid is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 648 sq cm.
Let's find the side length of each cube:
Volume of a cube = side 216 = side side = 6 cm
When four cubes are joined end to end, we get a cuboid with dimensions:
Length = 4 × 6 = 24 cm
Breadth = 6 cm
Height = 6 cm
Surface area of a cuboid = 2(lb + bh + hl) = 2(246 + 66 + 6× 24) = 2(144 + 36 + 144) = 2 × 324 = 648 cm²
Therefore, the surface area of the new solid is 648 cm².