Question
The lateral surface area of a cube is 100
cm2 . The length of a cuboid is 40% more than the side of the cube. The breadth of the cuboid is 6 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.Solution
Let the length of the cube be ‘a’ cm According to the question, 4a2 = 100 => a2 = 25 => a = 5 Therefore, length of the cuboid = l = 1.40 × 5 = 7 cm Breadth of the cuboid = b = 7 – 6 = 1 cm Height of the cuboid = h = 1/0.8 = 1.25 cm Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(7 × 1) + (1 × 1.25) + (7 × 1.25)} = 34 cm2
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