Mathematics
Statement 1: Each side of a cuboid is doubled, its total surface area is also doubled.
Statement 2: The surface area of resulting cuboid is 2 x 2 x 2 times the original area.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Mensuration
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Answer
Let the original cuboid have length l, breadth b, and height h.
So, sides of new cuboid = 2l, 2b and 2h.
As we know that surface area of the cuboid = 2(lb + bh + hl)
The surface area of new cuboid = 2[(2l) x (2b) + (2b) x (2h) + (2h) x (2l)]
= 2(4lb + 4bh + 4hl)
= 2 x 2 x [2(lb + bh + hl)]
= 4 x surface area of the cuboid
= 2 x 2 x surface area of the cuboid
∴ Both the statements are false.
Hence, option 2 is the correct option.
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