Which statement describes what happens to the volume of a cube when the edge length is doubled to form a new cube?

Question

a	The volume of the new cube is 1/4 the volume of the original cube.
b	The volume of the new cube is ½ the volume of the original cube.
c	The volume of the new cube is 4 times the volume of the original cube.
d	The volume of the new cube is 8 times the volume of the original cube.

Answer 1

Solution: The volume of a cube of side a is a³ if the side is doubled then the side is 2 a and the volume of the cube becomes ( 2a)³ = 8 a³ . The ratio of volumes are = 8 a³ / a³ = 8 and the volume of the new cube is 8 times the volume of the old cube, Answer choice is d