Understanding Cube Properties and Formulas

In this tutorial, Gary explains how to calculate the surface area of a cube. He begins by introducing the concept and identifying the six sides of a cube. Gary then derives the formula for the surface area, which is 2HL + 2HW + 2LW. He emphasizes understanding the concept rather than memorizing the formula. The tutorial includes two examples: one calculates the surface area with given dimensions, and the other finds a missing dimension using the surface area formula. The video concludes with a summary of the steps involved in these calculations.

What are the three dimensions of a cube?

• Length, Width, Radius

• Height, Length, Width

• Height, Width, Depth

• Height, Diameter, Width

How many sides does a cube have?

• 6

• 5

• 4

• 8

Which of the following pairs of sides have the same surface area in a cube?

• Front and Top

• Top and Bottom

• Front and Back

• Left and Right

What is the formula for the surface area of a cube?

• HLW

• 2HL + 2HW + 2LW

• HL + HW + LW

• 3HL + 3HW + 3LW

Why is it suggested to think conceptually about the cube rather than memorizing the formula?

• It is faster

• It helps avoid missing steps

• It is more fun

• It is easier to memorize

In the first example, what is the length of the cube?

• 3

• 6

• 2

• 9

What is the surface area of the cube in the first example?

• 72

• 54

• 102

• 36

In the second example, what is the given surface area of the cube?

• 36

• 12

• 48

• 24

What is the height of the cube in the second example?

• 5

• 4

• 3

• 2

What is the width of the cube in the second example?

• 2

• 5

• 3

• 4