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Sum

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

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#### Solution

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) cm^{2}

= 2 (324 + 81 + 324) cm^{2}

= 2 x 729 cm^{2}

= 1458 cm^{2}

(iii) Volume = l x b x h = 36 x 9 x 9 cm^{2} = 2916 cm^{3}

Concept: Surface Area of a Cuboid

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