(with this ? ) the dimensions of a rectangular prism are shown below: length: 1 1/2 width: 1 foot height: 2 1/2 the lengths of the sides of a small cube are 1/2 foot each. part a: how many small cubes can be packed in the rectangular prism? show your work. (5 points) part b: use the answer obtained in part a to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 points)

A) 30 cubes.

B) 30 units³.

Step-by-step explanation:

A) 1. Calculate the volume of the rectangular prism, as following:

2. You have that:

- The length is:

- The width is:

- The heigth is:

3. Substitute these values into the formula:

4. The volume of one cube is:

5. The length of one side is:

6. Substitute this value into the formula:

7. The number of small cubes that can be packed in the rectangular prism is:

B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:

2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:

the answer is b.

step-by-step explanation: