Question

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

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

Answer 1

Edge of each cube = 9 cm

(i) Length of the cuboid fonned by 4 cubes (l) = 9 x 4 = 36 cm
Breadth (b) = 9 cm and height (h) = 9 cm

(ii) Total surface area of the cuboid = 2(lb + bh + hl)
= 2 (36 x 9 + 9 x 9 + 9 x 36) cm²
= 2 (324 + 81 + 324) cm²
= 2 x 729 cm²
= 1458 cm²

(iii) Volume = l x b x h = 36 x 9 x 9 cm² = 2916 cm³