Math Volume of Rectangular Prisms and Cubes

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.

Angela is lining the bottom of some cabinet drawers with paper. How much paper will she need to cover the bottom of three drawers?

• 960 sq cm

• 480 sq cm

• 160 sq cm

• 2,880 sq cm

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

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

Which of the following shows the equation for finding the volume of the cube at the right?

• V = 4 + 4 + 4

• V = 4 × 3

• V = 4 × 4

• V = 4 × 4 × 4

Tyler completely filled the box shown below with unit cubes, with no gaps or overlaps. KEY - 1 cubic unit He then counted the number of cubes that he used to fill the box. What type of measurement is represented by the number of cubes Tyler counted ?

• area

• height

• volume

• Perimeter

The table below lists the number of layers of centimeter cubes, along the number of cube in each layer, in each of four rectangular prisms. Which rectangular prisms have the greatest volume ?

• Prism R

• Prism S

• Prism T

• Prism U

The amount of space a three-dimensional figure contains. The formula _______________ for of a rectangular prism is length × width × height.

• area

• perimeter

• volume

• unending life happiness

What is the volume?