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If the length, breadth, and height of a cuboid are 4a, 3a, and 2a respectively, then its total surface area is

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36a²

56a²

52a²

46a²

answer is C.

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Detailed Solution

Given, length (l) = 4a, breadth (b) = 3a, and height (h) = 2a

We know that the total surface area of a cuboid = 2 (lb + bh + lh)

∴ The total surface area of the given cuboid = 2 (4a x 3a + 3a x 2a + 2a x 4a)

= 2 (12a² + 6a² + 8a²)

= 2 (26a²)

= 52a²

Therefore, the total surface area of the cuboid is 52a².

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