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The dimensions of a rectangular prism are shown below:

Length: 1 1/2 feet
Width: 1 foot
Height: 2 1/2 feet
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.

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.


Correct answers: Brainliest and a Thanks!
Incorrect answers: 1-2 star (Make sure you know the answers please!)
Improper answers: Reported and 1 star (No links!!)

Sagot :

Answer:
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:
A 30 cubes
B 30 units
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