If the side of a cube is doubled then the change in its T.S.A. isA) 1

1.	If the side of a cube is doubled then the change in its T.S.A. isA) 1 time B) 2 times C) 3 times D) 4 times
Answer» Correct option is (D) 4 times Let side length of a cube = a unit Then side length of new formed cube = 2a unit Total surface area of new cube \(=6(2a)^2\) \(=4\times6a^2=4\) (T.S.A. of original cube) i.e., if side of a cube is doubled then its T.S.A. becomes 4 times than its original T.S.A. Correct option is D) 4 times

If the side of a cube is doubled then the change in its T.S.A. isA) 1 time B) 2 times C) 3 times D) 4 times

Answer»

Correct option is (D) 4 times

Let side length of a cube = a unit

Then side length of new formed cube = 2a unit

Total surface area of new cube \(=6(2a)^2\)

\(=4\times6a^2=4\) (T.S.A. of original cube)

i.e., if side of a cube is doubled then its T.S.A. becomes 4 times than its original T.S.A.

Correct option is D) 4 times