Composite Prisms and Area Calculations

This video tutorial explains how to find the volume of composite prisms. It begins with an introduction to composite prisms, where the base shape is a composite shape. The process involves finding the area of the base by breaking it down into known shapes and then using this area to calculate the volume. Two examples are provided: the first involves a base made of rectangles, and the second uses a trapezium base. The video demonstrates step-by-step calculations, ensuring that viewers understand how to apply these methods to different shapes.

What is a composite prism?

• A prism with a square base

• A prism with a circular base

• A prism with a composite base shape

• A prism with a triangular base

How do you find the volume of a composite prism?

• By measuring the length of the base

• By finding the area of the base and multiplying by the height

• By calculating the perimeter of the base

• By adding the lengths of all sides

In the first example, how is the base shape divided?

• Into two triangles

• Into a rectangle and a triangle

• Into a square and a rectangle

• Into two rectangles

What is the area of the first rectangle in the first example?

• 90

• 100

• 140

• 230

What is the total area of the base in the first example?

• 320

• 90

• 140

• 230

What is the shape of the base in the second example?

• Circle

• Triangle

• Rectangle

• Trapezium

How is the trapezium base divided in the second example?

• Into two rectangles

• Into a rectangle and a triangle

• Into two triangles

• Into a square and a triangle

What is the area of the rectangle in the second example?

• 40

• 52

• 32

• 20

What is the total area of the base in the second example?

• 60

• 52

• 32

• 20

What is the final volume of the second example?

• 400 cm³

• 312 cm³

• 230 cm³

• 690 cm³