Surface Area of Composite Shapes

This video tutorial explains how to calculate the surface area of a composite shape, which is made up of multiple simple shapes. The example used is a miniature silo composed of a half sphere and a cylindrical base. The video details the process of calculating the surface area of each component separately and then combining them to find the total surface area. Key formulas for the surface area of a sphere and a cylinder are applied, and the final result is rounded to one decimal place.

What is a composite shape?

• A shape made of a single type of shape

• A shape that is always circular

• A shape made of multiple types of shapes

• A shape with no defined area

Which two shapes make up the example composite shape discussed?

• A full cylinder and a cube

• A half-cylinder and a rectangular prism

• A sphere and a pyramid

• A cone and a triangular prism

What is the first step in calculating the surface area of a composite shape?

• Calculate the volume of each part

• Identify the shapes and their formulas

• Draw a diagram of the shape

• Measure the weight of the shape

What is the formula for the surface area of a full sphere?

• 4πr²

• 3πr²

• 2πr²

• πr²

How do you calculate the surface area of half a sphere?

• Add the surface area of a full sphere to itself

• Divide the surface area of a full sphere by 2

• Multiply the surface area of a full sphere by 2

• Divide the surface area of a full sphere by 4

What is the formula for the lateral surface area of a cylinder?

• 2πr²

• πr²h

• 2πrh

• πrh

Why is the top of the cylindrical base not included in the surface area calculation?

• It is covered by another material

• It is not visible

• It is not part of the composite shape

• It is already included in the sphere's surface area

What is the radius of the sphere used in the miniature silo?

• 2 meters

• 4 meters

• 6 meters

• 8 meters

What is the height of the cylindrical part of the silo?

• 10 meters

• 8 meters

• 6 meters

• 4 meters

What is the total surface area of the miniature silo?

• 301.6 square meters

• 200.1 square meters

• 400.2 square meters

• 100.5 square meters