Packing Cubes and Volume

A cube whose edge lengths measure 1 unit is called a

• cubic unit.
• box.
• square
• rectangular prism.

Sam is using this box to pack books.  He needs to know the volume so he can figure out how many books to pack.
Which expression below would Sam use to find the volume of the box?

• 3 + 4 + 5
• 3 + 4 x 5
• 3 x 4 + 5
• 3 x 4 x 5

Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?

• 6 cubic inches
• 8 cubic inches
• 12 cubic inches
• 8 square inches

How many more cubes are needed to fill the packing box?

• 60 cubic units
• 18 cubic units
• 42 cubic units
• 29 cubic units

The box has a volume of 27 cubic inches.  If the box is a cube, how long does each side measure?

• 3 inches
• 9 inches
• 3 cubic inches
• 9 cubic inches

You are designing a toy box in art. The toy box needs to able to hold 20 cubic feet of toys. What might the dimensions be?

• 2ft x 10ft
• 2ft x 5ft x 2ft
• 5ft x 5ft x 5ft x 5ft
• 10ft x 10ft x 2ft

A restaurant is building a trash chute to make moving trash from the kitchen to the dumpster easier. The plan for the trash chute is below. What is the volume of the trash chute?

• 76 cubic feet
• 36 cubic feet
• 40 cubic feet
• 23 cubic feet

The display for a model train is shown below. What is the volume of the display in cubic inches, if the given measurements are rounded to the nearest inch? 

• 11.9 cubic centimeters
• 64 cubic centimeters
• 119 cubic centimeters
• 60 cubic centimeters

Brooke is designing a dollhouse. The bottom floor of the dollhouse is shown below. If Brooke wants the dollhouse to have a volume of 60 cubic inches, how many layers, exactly like the first floor, will she need to add to get to the needed volume? 

• 2
• 3
• 4
• 5

How many cubes are needed to fill a box that is 11 inches long, 3 inches wide, and 9 inches high? 

• 23 cubic inches
• 297 cubic inches
• 327 cubic inches
• 287 cubic inches