Question
The lateral surface area of a cube is 256 cm2
. The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 5 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 = 256
=> a2 = 64
=> a = 8
Therefore, length of the cuboid = l = 1.5 × 8 = 12 cm
Breadth of the cuboid = b = 12 – 5 = 7 cm
Height of the cuboid = h = 7/0.8 = 8.75 cm
Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(12 × 7) + (7 × 8.75) + (12 × 8.75)} = 500.50 cm2
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