1. How many cubes with an edge length of 1 inch fill this box?

   

2. If the cubes had an edge length of 2 inches, would you need more or fewer cubes to fill the box? Explain your reasoning.
3. If the cubes had an edge length of  inch, would you need more or fewer cubes to fill the box? Explain your reasoning.

1. Diego says that 108 cubes with an edge length of inch are needed to fill a rectangular prism that is 3 inches by 1 inch by inch.

   

   

   1. Explain or show how this is true.

   2. What is the volume, in cubic inches, of the rectangular prism? Explain or show your reasoning.

2. Lin and Noah are packing small cubes into a larger cube with an edge length of inches. Lin is using cubes with an edge length of inch, and Noah is using cubes with an edge length of inch.

   1. Who would need more cubes to fill the -inch cube? Be prepared to explain your reasoning.

   2. If Lin and Noah each use their small cubes to find the volume of the larger -inch cube in cubic inches, will they get the same answer? Explain or show your reasoning.

   

A nature center has a fish tank in the shape of a rectangular prism.
The tank is 10 feet long, feet wide, and 6 feet tall.

1. What is the volume of the tank in cubic feet? Show your reasoning.

   

2. One day, a caretaker filled of the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Show your reasoning.