Surface Area and Properties of Cubes

This video tutorial from Moo Moo Math explains how to find the surface area of a cube. It begins by defining a cube and its properties, then demonstrates how to calculate the surface area using the side length. An example is provided where the side length is given as three, resulting in a surface area of 54 square units. The tutorial then explores a more complex scenario where the diagonal of a face is given, and explains how to use the properties of a 45-45-90 triangle to find the side length and subsequently the surface area. The video concludes with a calculation of the surface area using the diagonal, resulting in 192 square units.

What is a unique property of a cube?

• It has only four faces

• All sides are different

• It is a two-dimensional shape

• All sides are equal

How many faces does a cube have?

• 4

• 6

• 8

• 12

How do you calculate the surface area of a cube using the side length?

• Square the side length and multiply by 6

• Multiply the side length by 4

• Multiply the side length by 2

• Cube the side length

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

• 4 * side^2

• 6 * side^2

• 8 * side^2

• 12 * side^2

If the side length of a cube is 3, what is its surface area?

• 18 square units

• 36 square units

• 27 square units

• 54 square units

What is the first step in finding the surface area of a cube when given the diagonal of a face?

• Add the diagonal to the side length

• Divide the diagonal by the square root of 2

• Multiply the diagonal by 2

• Subtract the diagonal from the side length

What type of triangle is embedded in the face of a cube?

• Equilateral triangle

• 30-60-90 triangle

• 45-45-90 triangle

• Scalene triangle

What is the diagonal of a face of a cube with side length 4√2?

• 8√2

• 4

• 4√2

• 8

What is the surface area of a cube with a side length of 4√2?

• 64 square units

• 96 square units

• 128 square units

• 192 square units

If the diagonal of a face of a cube is 8, what is the side length?

• 8√2

• 8

• 4√2

• 4