Question
The lateral surface area of a cube is 400 cm2
. The length of a cuboid is 15% 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 = 400 => a2 = 100 => a = 10 Therefore, length of the cuboid = l = 1.15 × 10 = 11.5 cm Breadth of the cuboid = b = 11.5 – 6 = 5.5 cm Height of the cuboid = h = 5.5/0.8 = 6.875 cm Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(11.5 × 5.5) + (5.5 × 6.875) + (11.5 × 6.875)} = 360.25 cm2
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