Three cubes each of side 3cm are joined end to end . find the surface area of the resultant cube??
Given, the edge of the cube is 3 cm.
When three cubes are joined end to end, then the resulting solid is a cuboid.
Length of the cuboid, l = 3 × Edge of the cube = 3 × 3 cm = 9 cm
Breadth of the cuboid, b = Edge of the cube = 3 cm
Height of the cuboid, h = Edge of the cube = 3 cm
Surface area of the cuboid
= 2 (lb + bh + hl)
= 2 (9 cm × 3 cm + 3 cm × 3 cm + 3 cm × 9 cm)
= 2 (27 cm2 + 9 cm2 + 27 cm2)
= 2 × 63 cm2
= 126 cm2
Thus, the surface area of the resulting cuboid is 126 cm2.