Question

If the side of a cube is three times as long as the side of a second cube, find the ratio of their
volumes.​

Answer 1

Step-by-step explanation:

If the length of each edge of a cube is tripled what will be the change in its volume?

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Volume of a cube = edge * edge* edge = a^3 ( where ‘a’ refers to side)

If ‘a’ is tripled .. then a becomes 3a..

Volume = (3 a)^3= 27 a^3 or 27 units

So, we can tell that the volume is 27 times the original volume..

Change = new volume (attained after tripling the edges ) - actual volume

= 27 a^3 units - 1 a^3 unit

= 26 a^3 units

Therefore the change is the new volume is 26 a^3 units larger than the actual one..

Hope this helps you ..

Answer 2

Answer:

Step-by-step explanation:

s₁=3s₂

area of cube =s³

area of 1st cube=s₁³=(3s₂)³=27s₂³

area of cube 2=s₂³

ratio of volumes =area of cube 1/ area of cube 2

                           = 27s₂³/s₂³

                          =27/1

                         =27:1