How many 1-in. cubes can fit into a 2 by 4 by 2 in.
prism?

16

Step-by-step explanation:

The dimensions of the base of the prism are 4" by 2"; the height is 2".

Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly.  We'd have a 3-dimensional prism with one layer of 1" cubes.

Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.

To find out how many 1 inch cubes can fit into a prism, we need to find the volume of both the prism and cube.

Cube:

V = 1 x 1 x 1

V = 1 in^3

Prism:

V = 2 x 2 x 4

V = 16 in^3

Then, we'll divide the volume of the prism by the volume of a single cube to figure out how many cubes can fit inside the prism.

16 / 1 = 16

16 1-inch cubes can fit into a 2 by 4 by 2 prism.

Hope this helps!! :)

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.