Four cubes, each of edge 9 cm, are joined as shown below :

Write the dimensions of the cuboid obtained. Also, find total surface area and volume.

Since the length (l) of the cuboid = 4 x 9 cm = 36 cm,

its breadth (b) = 9 cm and its height (h) = 9 cm

As we know, the total surface area of the cuboid = 2(l x b + b x h + h x l)

= 2(36 x 9 + 9 x 9 + 9 x 36) cm²

= 2(324 + 81 + 324) cm²

= 2 x 729 cm²

= 1,458 cm²

As we know, the volume of cuboid = l x b x h

= 36 x 9 x 9 cm³

= 2,916 cm³

Hence, the dimensions of the cuboid are 36 cm, 9cm and 9 cm, the total surface area is 1,458 cm² and the volume is 2,916 cm³.