 Hello and welcome to the session. Today I will help you with the following question. The question says if each edge of a cube is doubled, how many times will its volume increase? Let's recall the volume of cube which is equal to l cube where l is the length of a side of cube. This is the key idea to be used for this question. Now let's see the solution. First let's assume the side of the cube be equal to x units then the volume of cube would be equal to x cube using the formula of the volume of cube. If we double the side of the cube the side would be equal to 2x. Now for the side 2x the new volume of the cube would be equal to 2x the whole cube using the formula of the volume of cube and this is equal to 8x cube. Then the ratio would be equal to new volume upon the old volume. Now the new volume is 8x cube so this is equal to 8x cube upon now the old volume is x cube. Thus we have ratio is equal to 8x cube upon x cube. Now x cube when x cube gets cancelled and this becomes equal to 8 upon 1. Thus we say the volume will increase 8 times. Hence our final answer is 8 times. So hope you enjoyed the session. Have a good day.