The ratio of the surface area of a cube to the cube.Whose edge is halv

1.	The ratio of the surface area of a cube to the cube.Whose edge is halved?
Answer» we know that: volume of cube = a³ where, a is the side or length of edge of cube. So, here if the length of edges of cube is halved => side of cube = a / 2 => volume = (a/2)³ = a³ / 2³ = a³ / 8 Hence when the edge length is halved then the volume of cube become 1/8 of the volume before. Hence ratio is 1/1/8=8:1option d

The ratio of the surface area of a cube to the cube.Whose edge is halved?

Answer»

we know that:

volume of cube = a³

where, a is the side or length of edge of cube.

So, here

if the length of edges of cube is halved

=> side of cube = a / 2

=> volume = (a/2)³

= a³ / 2³

= a³ / 8

Hence

when the edge length is halved then the volume of cube become 1/8 of the volume before.

Hence ratio is 1/1/8=8:1option d