Question

Statement (1): Each side of a cuboid is doubled, its total surface area is also doubled.

Statement (2): The surface area of the resulting cuboid is 2 × 2 × 2 times the original area.

Options

• 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.

Answer 1

Both the statements are false.

Explanation:

When each side of a cuboid is doubled, its surface area scales by a factor of 2² = 4 (not doubled as stated in Statement 1, and not 2³ = 8 times as stated in Statement 2 which applies to volume). Therefore, both statements are false.