Volume of Prisms and Cubes

The video tutorial covers the concept of volume calculation using prisms. It begins with an introduction to volume calculation, followed by examples involving miniature dice and one-fourth inch cubes. The tutorial also explores problem-solving with fractions, toy packaging, and comparing cube sizes. Finally, it presents two methods for calculating volume, providing a comprehensive understanding of the topic.

Which formula is used to calculate the volume of a prism?

• Width × Height

• Length + Width + Height

• Length × Width × Height

• Length × Width

If a prism can hold 240 one-inch cubes, how many half-inch cubes can it hold?

• 2400

• 960

• 480

• 1920

How many one-fourth inch cubes fit in a cubic unit?

• 16

• 32

• 64

• 128

What is the volume of a prism with dimensions 5 and 1/3, 2/3, and 1 and 1/3?

• 4 and 20/27 cubic centimeters

• 6 and 1/3 cubic centimeters

• 7 cubic centimeters

• 5 cubic centimeters

How many small toy boxes with side lengths of 1/2 inch can fit in a larger box with dimensions 12 inches by 4.5 inches by 3.5 inches?

• 2048

• 1512

• 1024

• 512

Why does it take more cubes with one-third unit side lengths to fill a prism than cubes with half unit side lengths?

• One-third unit cubes are larger

• One-third unit cubes are smaller

• Both are the same size

• Half unit cubes are smaller

What is the volume of a rectangular prism with dimensions 2 and 3/4, 1/2, and 1 and 1/4?

• 1 and 23/32 cubic centimeters

• 2 cubic centimeters

• 3 and 1/2 cubic centimeters

• 4 cubic centimeters

How many more cubes with one-third unit side lengths are needed compared to half unit side lengths to fill a prism with a volume of 8 cubic units?

• 216

• 152

• 128

• 64

What is the volume of a prism with dimensions 1 and 1/2, 3/4, and 4 and 1/2 using the traditional method?

• 7 and 1/2 cubic meters

• 8 cubic meters

• 6 cubic meters

• 5 and 1/16 cubic meters

How is the number of cubes related to the volume of a prism?

• Volume is the number of cubes minus the volume of one cube

• Volume is the number of cubes plus the volume of one cube

• Volume is the number of cubes times the volume of one cube

• Volume is the number of cubes divided by the volume of one cube