A Jewlery box has length of 3 and a half, a width if 1 and a half, and a height of 2 units. What is the volume if the box I cubic units?

Each of the cubes in this activity has a side length of 1/2.

How many cubes with side length 1/2 does it take to form a unit cube?

How many cubes with side length 1/2 does it take to fill the prism?

So the volume of the unit box is ___ cubic units

1. V = L*W*h = 3 1/2 * 1 1/2 * 2 =

7/2 * 3/2 * 2/1 = 42/4=10.5 cubic units.

2. 8 Cubes.

4. V = 1 * 1 * 1 = 1 Gubic units.

3.

To calculate the volume of the jewelry box, you can use the formula:

Volume = length * width * height

Given that the length is 3 and a half (3.5), the width is 1 and a half (1.5), and the height is 2, we can substitute these values into the formula:

Volume = 3.5 * 1.5 * 2
Volume = 10.5 cubic units

Now, let's move on to the second question you mentioned. Each cube in the activity has a side length of 1/2. To find out how many of these cubes with a side length of 1/2 are required to form a unit cube, we can use the formula:

Number of cubes = (1 / side length)^3

The side length in this case is 1/2, so we can substitute it into the formula:

Number of cubes = (1 / (1/2))^3
Number of cubes = (1 / 0.5)^3
Number of cubes = 2^3
Number of cubes = 8 cubes

Finally, let's move on to the last question you mentioned. We need to find out how many cubes with a side length of 1/2 it takes to fill the prism. To calculate this, we can find the volume of the prism using the formula mentioned earlier:

Volume of the prism = length * width * height
Volume of the prism = 3.5 * 1.5 * 2
Volume of the prism = 10.5 cubic units

Since each cube has a volume of (1/2)^3, we can divide the volume of the prism with the volume of each cube to find the number of cubes required:

Number of cubes = (Volume of the prism) / (Volume of each cube)
Number of cubes = 10.5 / (1/2)^3
Number of cubes = 10.5 / (1/8)
Number of cubes = 10.5 * 8
Number of cubes = 84 cubes

So, the volume of the box is 10.5 cubic units, the number of cubes required to form a unit cube is 8 cubes, and the number of cubes required to fill the prism is 84 cubes.