Understanding Cube Volume and Subtraction

The video tutorial explains how to calculate the volume of a cube by multiplying its length, width, and height. It uses a real-world example of a butter cube with a side length of 5 centimeters. The tutorial then demonstrates how to find the remaining volume after a smaller cube with a side length of 2 centimeters is removed from the larger cube. The final expression for the remaining volume is 5 to the third power minus 2 to the third power.

What is the formula for calculating the volume of a cube?

• Length + Width + Height

• Length x Width x Height

• Length x Width

• Width x Height

If a cube has a side length of x, how is its volume expressed?

• x plus three

• x cubed

• x squared

• 3x

What is the assumed unit for the side length of the butter cube?

• Inches

• Feet

• Meters

• Centimeters

What is the volume of the original butter cube with side length 5?

• 125

• 5

• 15

• 25

What is the volume of the smaller cube removed from the butter cube?

• 10

• 6

• 8

• 4

How do you express the volume of the butter left after removing the smaller cube?

• 5 cubed plus 2 cubed

• 5 cubed minus 2 cubed

• 5 squared plus 2 squared

• 5 squared minus 2 squared

What is the final expression for the volume of butter left?

• 8

• 125

• 133

• 117