Final answer:
To identify 10 different rectangular prisms with a volume of 144 cm³, you need to find combinations of length, width, and height that multiply to give a volume of 144 cm³.
Step-by-step explanation:
To identify 10 different rectangular prisms with a volume of 144 cm³, we need to find combinations of length, width, and height that multiply to give a volume of 144 cm³. Here are some examples:
- A prism with length = 2 cm, width = 6 cm, and height = 12 cm.
- A prism with length = 8 cm, width = 3 cm, and height = 6 cm.
- A prism with length = 12 cm, width = 2 cm, and height = 6 cm.
- .....
- And so on, until you have 10 different combinations.
Remember that the formula for the volume of a rectangular prism is V = length * width * height. In this case, we're looking for combinations that give a volume of 144 cm³.