Surface Area of 3D Objects

The video tutorial explains how to find the surface area of composite 3D objects by calculating the surface area of each individual shape, adding them together, and then subtracting the overlap area. The process involves using standard surface area formulas for shapes like cylinders and rectangular prisms, and emphasizes the importance of accounting for overlapping areas to avoid errors. The tutorial is aimed at Grade 9 students and reinforces existing mathematical skills without introducing new concepts.

What is the key consideration when finding the surface area of composite 3D objects?

• The color of the objects

• The overlap between objects

• The weight of the objects

• The volume of each object

What is the first step in finding the surface area of a composite object?

• Determine the surface area of each individual shape

• Calculate the volume of each shape

• Find the overlap area

• Subtract the overlap from the total

Which formula is used to calculate the surface area of a cylinder?

• 4πr²

• πr²h

• 2lw + 2lh + 2wh

• 2πr² + 2πrh

What is the radius of the cylinder if its diameter is 6 feet?

• 6 feet

• 3 feet

• 12 feet

• 9 feet

What is the surface area of the cylinder calculated in the video?

• 483.24 feet squared

• 276 feet squared

• 207.24 feet squared

• 150.72 feet squared

Which dimensions are used for the rectangular prism in the video?

• Width: 10 feet, Height: 7 feet, Length: 4 feet

• Width: 4 feet, Height: 10 feet, Length: 7 feet

• Width: 7 feet, Height: 4 feet, Length: 10 feet

• Width: 10 feet, Height: 4 feet, Length: 7 feet

What is the surface area of the rectangular prism calculated in the video?

• 483.24 feet squared

• 150.72 feet squared

• 276 feet squared

• 207.24 feet squared

What is the total surface area of both objects before considering the overlap?

• 276 feet squared

• 207.24 feet squared

• 426.72 feet squared

• 483.24 feet squared

How is the overlap area calculated in the video?

• By finding the volume of the overlap

• By using the formula for the area of a circle

• By subtracting the height from the width

• By adding the lengths of both objects

What is the final total surface area of the composite object after subtracting the overlap?

• 483.24 feet squared

• 276 feet squared

• 207.24 feet squared

• 426.72 feet squared