Question

To find the ratios of the surface area and volumes of cubes of different dimensions.Does the surface area to volume ratio decrease or increase as the length of the cube increases? write the general ratio for a cube of side x cm?​

Answer 1

Answer:

The Surface area to Volume ratio decreases as the length of the cube increases.

Step-by-step explanation:

Let the side of the cube be 1x.

Let the side of second cube be 10x.

Surface area= 6x²

Volume= x³

So, ratio= 6x² : x³

if we take x as 1 in the above cases, the ratio is:

6:1

= 6:1

If we take it as 2 then the ratio would be:

24 : 8

= 4:1

If we take it as 3 then the ratio would be:

54 : 27

=  2 : 1

Therefore, The Surface area to Volume ratio decreases as the length of the cube increases.

I hope this helps.