Question

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

Answer 1

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 2

16

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.