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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
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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) 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
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