Let l, b and h are respectively the length, breadth and height of the cuboid, then
l = (4 + 4 + 4) cm = 12 cm
when three cubes are joined we gel a cuboid.
So, b = 4 cm and h = 4 cm.
Now,
The Surface Area of the resulting cuboid
= 2 (lb + bh + hl) cm2
= 2 (12 x 4 + 4 x 4 + 4 x 12) cm2
= 2 (48 + 16 + 48) cm2
= (2 x 112) cm2
= 224 cm2.
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm are melted and a new cube is made (i) Find the length of the edge of the new cube.
(ii) Find the total surface area of the new cube.