1. How many cubic blocks of side length

1/7 inch would it take to fill a

cube with a side length of 3/7 inch?

2. How many cubic blocks of side length

1/7 inch would it take to fill a

rectangular prism with a length, width,

and height of 3/7 inch, 1/7 inch,

and 3/7 inch, respectively?

3. How many cubic blocks of side length 1/6

inch would it take to fill a

cube with a side length of 2/6 inch?

To find how many blocks it would take in each of these scenarios, you could find the total volume and then divide by the volume of each smaller cube.

1. 3/7 x 3/7 x 3/7 = 27/343 cubic inches

1/7 x 1/7 x 1/7 = 1/343 cubic inches

27/343 cubic inches divided by 1/343 cubic inches = 27 cubes.

2. 3/7 x 1/7 x 3/7 = 9/343 cubic inches

9/343 cubic inches divided into groups of 1/343 cubic inches is 9 cubes.

3. 2/6 x 2/6 x 2/6 = 8/216 cubic inches

8/216 cubic inches divided by 1/216 cubic inches is 8 cubes.

Another way to think of it would be for #1, each 3/7 of an inch would be 3 groups of 1/7, so 3 x 3 x 3 for each dimension would result in 27 cubes.

For #2, it would be 3 groups of 1/7, one group of 1/7 and another 3 groups of 1/7, so 3 x 3 is 9 cubes.

For #3 it would be 2 groups of 1/6 three times, so 2 x 2 x 2 = 8 cubes.