Correct option is A
Given:
Length, breadth, and height of a cuboid are doubled.
Formula Used:
Total Surface Area (TSA) of a cuboid = 2(lb + bh + hl)
Solution:
Let original length = l, breadth = b, height = h.
Original TSA = 2(lb + bh + hl)
New length = 2l, new breadth = 2b, new height = 2h.
New TSA = 2((2l)(2b) + (2b)(2h) + (2h)(2l))
New TSA = 2(4lb + 4bh + 4hl)
New TSA = 4 × 2(lb + bh + hl)
New TSA = 4 × Original TSA
Thus, the new total surface area becomes 4 times the original.
Final Answer
So the correct answer is (a)
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