The meaning of the centimeter cube

The video tutorial explains the concept of volume using the analogy of boxes of matches. It highlights the inconsistency of using non-standard units and introduces the need for a standard unit of measurement, specifically the cubic centimeter. The tutorial further explains how to calculate the volume of a cube by using the formula for cubic measurement, demonstrating with a small cube of 1 cm edge and a larger cube with a 4 cm edge. The larger cube's volume is shown to be 64 cubic centimeters, illustrating that it contains 64 smaller cubes.

Why is it not practical to use boxes of matches as a unit of volume?

• They vary in size across different regions.

• They are difficult to count.

• They are not available everywhere.

• They are too small to measure large volumes.

What is the volume of a small cube with an edge of 1 centimeter?

• 1 cubic millimeter

• 1 cubic meter

• 1 cubic inch

• 1 cubic centimeter

What is the edge length of the larger cube discussed in the video?

• 3 centimeters

• 5 centimeters

• 2 centimeters

• 4 centimeters

How many small cubes of 1 cubic centimeter can fit into the larger cube?

• 64

• 128

• 32

• 16

What does the volume of 64 cubic centimeters for the larger cube signify?

• It weighs 64 grams.

• It can hold 64 liters of water.

• It has a surface area of 64 square centimeters.

• It contains 64 small cubes of 1 cubic centimeter each.