5.C.8-2 (Chains of Reasoning) 5.MD.5 Finding Total Volume
Dolphin Exhibit Design
The local aquarium is building a new dolphin exhibit. It must have a section for the dolphins to be trained and another section where the dolphins can be visible and interact with the visiting spectators. The engineers designed a model to show to the architects. Below is the model that the engineers came up with.
This is the model of the dolphin exhibit. The model is a composite figure made of two rectangular prisms. There are two sections. The first is the spectator section. The second is the training section. The spectator section has a length of 12 meters, a width of 6 meters, and a height of 6 meters. The training section has a length of 6 meters, a width of 18 meters, and a height of 6 meters.
- What is the volume of the training section?
- What is the volume of the spectator section?
- What is the total volume of the dolphin exhibit?
Scoring Rubric
Score 5
Student response includes the following 5 elements.
● Reasoning component = 5 points
○ The missing side length of the training section
○ The missing side length of the spectator section
○ The volume of the training section
○ The volume of the spectator section
○ The total volume of the dolphin exhibit
Sample Student Response:
In order to find the volume of the training section, I had to find the height. I added the opposite sides to find that the missing side length was 18 m3 . The volume of the training section is 648 cubic meters (m3 ).
Next, I had to find the volume of the spectator section. I had to find the width. I subtracted the opposite sides (18 m3 minus 6 m3) to find that the missing side length was 12 m3. The volume of the spectator section is cubic meters.
In order to find the total volume of the dolphin exhibit, I had to add the volume of both of the sections together. (equation). The total volume is 1,080 cubic meters (m3).
Score 4
Student response includes 4 of the 5 elements.
Score 3
Student response includes 3 of the 5 elements.
Score 2
Student responses includes 2 of 5 elements.
Score 1
Student responses includes 1 of 5 elements.
Score 0
Student response is incorrect or irrelevant.