Surface Area and Properties of Cubes

The video tutorial explains how to calculate the surface area of a cube with each side measuring 3.5 inches. It introduces the concept of a cube as a rectangular solid with equal sides and explains the formula for surface area as 6 times the square of the side length. The tutorial provides a detailed step-by-step calculation of the surface area, emphasizing the importance of decimal places and the order of operations. The final result is a surface area of 73.5 square inches, and the video concludes with a summary of the calculation process.

What is the shape of each face of a cube?

• Rectangle

• Triangle

• Circle

• Square

How many faces does a cube have?

• Six

• Ten

• Four

• Eight

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

• 10 times the square of the side length

• 6 times the square of the side length

• 4 times the square of the side length

• 8 times the square of the side length

If the side length of a cube is 3.5 inches, what is the first step in calculating its surface area?

• Divide 3.5 by 2

• Multiply 3.5 by 6

• Square 3.5

• Add 3.5 to itself

What is the result of squaring 3.5?

• 16.25

• 14.25

• 12.25

• 10.25

How many decimal places should the product of 3.5 times 3.5 have?

• Four

• Two

• One

• Three

What is the final step in calculating the surface area of the cube?

• Divide 12.25 by 6

• Add 12.25 to 6

• Multiply 12.25 by 6

• Subtract 6 from 12.25

What property of multiplication is used to calculate the final surface area?

• Associative property

• Distributive property

• Identity property

• Commutative property

What is the surface area of a cube with a side length of 3.5 inches?

• 93.5 square inches

• 83.5 square inches

• 73.5 square inches

• 63.5 square inches

Why is it important to include units in the final answer for surface area?

• To ensure clarity and accuracy

• To make the calculation easier

• To confuse the reader

• To make the answer look longer