Finding Volume of Rectangular Prisms by Packing Cubes

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

Determine all the equations that can be used to find the volume of the rectangular prism.

• 4 + 3 + 2 = 9

• 12 + 12 = 24

• 12 x 2 + 24

• (4+3) x 2 = 14

Melinda is making a tin box shaped like a rectangular prism. For the base, Melinda cuts out a square with a side length of 12 inches. If Melinda wants the volume of the tin box to be 1,440 cubic inches, how tall should the box be?

• 12 inches

• 6 inches

• 10 inches

• 8 inches

A shipping clerk packs a box of cube-shaped notepads. He packs 8 layers of notepads with 8 rows of 6 notepads in each layer. How many notepads does the clerk pack?

• 336

• 112

• 96

• 384

The number cubes the fifth-grade math classes use are packed into a box. When the box is full, it has 5 rows of 4 cubes with 6 layers of cubes. Mrs. Benson sees that one layer of cubes is missing from the box. How many number cubes are in the box?

• 96

• 100

• 90

• 90

Alexis uses toy blocks to build a model of a building. Each toy block is 1 cubic inch. The first three floors of the model are made up of 6 rows of 4 blocks. Floors four through eight are made up of 4 rows of 4 blocks. What is the volume of the model?

• 104 cu in.

• 152 cu in

• 88 cu in.

• 136 cu in.

Aaden is packing boxes into a carton that is 8 inches long, 8 inches wide, and 4 inches tall. The boxes are 2 inches long, 1 inch wide, and 1 inch tall. How many boxes will fit into the carton?

• 128

• 256

• 64

• 512

At Hal’s Shipping Store, the cost of mailing a box increases as the size of the box increases. Ming mails a box that measures 11 inches by 12 inches by 9 inches. Eli mails a box that measures 12 inches by 14 inches by 6 inches. Which statement is correct?

• Ming’s cost is less because her box has less volume.

• Ming’s and Eli’s costs are the same because the boxes have the same volume.

• Eli’s cost is greater because his box has greater volume.

• Ming’s cost is greater because her box has greater volume.

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