Question

Annie Mae collects snow globes that come in cube-shaped boxes as shown.

Please contact your teacher immediately if you do not see the diagram.How does the change in the length of the sides from the smaller cube to the larger cube affect the volume?
Question 3 options:


The volume increases by a factor of 64.


The volume increases by a factor of 27.


The volume increases by a factor of 9.


The volume increases by a factor of 16.

Answer 1

Concept:
First find the volume of both cubes and then take the ratio of lager to smaller cube to the factor of increase.

volume of smaller cube= v= 4³ = 64 in³
volume of larger cube= V= 12³ = 1728 in³

Now find the factor= V/v =1728/64 =27

So volume increase by the factor of 27