Packing Cubes in Prisms

Jade started packing the box shown below with 1 cm cubes. Which is NOT a true statement?

• Jade packed 16 cubes in the bottom of the box

• Jade needs to add 1 more layer to fill the box

• The volume of the box is 24 cubic cm

• The volume of the box is 32 cubic cm

The rectangular prism is made with one-foot cubes. What is the volume of the rectangular prism?

• 30 cubic feet

• 30 cubic inches

• 30 feet

• 30 feet squared

Luis has the three different rectangular prisms. Which statement is correct? MARK ALL THAT APPLY.

• Prism A is 9 cubic units

• Prism B has a greater volume than Prism C

• Prism A & C have equivalent volume

• Prism B has the greatest volume

• Prism A has the least volume

Ethan drew the bottom layer of a rectangular prism show. Which statement is true. MARK ALL THE APPLY.

• The volume is at least 14 cubic units

• The volume of 2 layers is 28 cubic units

• The side length of each cube is 1 unit

• The volume of 3 layers is 31 cubic units

What is the fractional edge length of the cubes that best pack the right rectangular prism?

• 1/5 unit

• 1/4 unit

• 1/3 unit

• 1/2 unit

What is the fractional edge length of the cubes that best pack the right rectangular prism?

• 1/2 unit

• 1/3 unit

• 1/4 unit

• 1/5 unit

How many cubes with a side length of ¹/₂ unit would fit inside the prism?

• 110 cubes

• 20 cubes

• 88 cubes

• 880 cubes

What is the volume of this prism?

• 7 cubic units

• 4 cubic units

• 6 cubic units

• It's impossible to find

Find the volume

• 45 cubic units

• 45 cubic cm

• 11 cubic cm

• 11 cubis units

Which explanation is the best response how someone found the volume of this prism.

• 12 cubic units

• The volume is 12 cubic units.

• First I counted 3 cubes on the top layer, then saw that there were four layers. Four layers of 3 gives me a total volume of 12 cubic units.

• I just knew it.