Which 3 go together?

1. Partner A: Build a rectangular prism with 12 cubes.
2. Partner B: Build a rectangular prism with 10 cubes.
3. Put your 2 rectangular prisms together to make one figure. What is the volume of the new figure? Explain or show your reasoning.
4. Diego and Jada put together 2 rectangular prisms to make this figure.

   

   Two rectangular prisms, one attached to the front of the other. Front prism: 3 cubes by 2 cubes by 2 cubes. Back prism: 3 cubes by 2 cubes by 3 cubes.

   1. What is the volume of the figure Diego and Jada made?
   2. Which rectangular prisms could Diego and Jada each have built? Show your thinking. Organize your work so it can be followed by others.

Find the volume of each figure. Explain or show your reasoning.

Rectangular prism with 1 row of cubes attached at the base. Prism: 3 cubes by 5 cubes by 3 cubes. Row of 5 cubes attached to the base of the 5 cube side.

Rectangular prism with row of cubes attached at the base. Prism: 3 cubes by 6 cubes by 3 cubes. Row of 6 cubes attached to the base of the 6-cube side. 

Two rectangular prisms attached on the side. First prism: 3 cubes by 5 cubes by 3 cubes. Second prism: 2 cubes by 2 cubes by 3 cubes.