Calculating Areas and Volumes

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 understanding of the method to find the volume of such prisms.

What is a composite prism?

• A prism with a triangular base

• A prism with a circular base

• A prism with a square base

• A prism with a composite base shape

What is the first step in finding the volume of a composite prism?

• Measure the length of the prism

• Calculate the perimeter of the base

• Find the height of the prism

• Determine the area of the base

In the first example, how is the base of the prism divided?

• Into a square and a rectangle

• Into two triangles

• Into a rectangle and a triangle

• Into two rectangles

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

• 90 cm²

• 230 cm²

• 140 cm²

• 100 cm²

How is the total area of the base calculated in the first example?

• By adding the areas of two triangles

• By multiplying the length and width of the base

• By adding the areas of two rectangles

• By subtracting the smaller area from the larger area

What is the final volume of the prism in the first example?

• 690 cm³

• 230 cm³

• 920 cm³

• 460 cm³

In the second example, what shape is the base of the prism?

• Rectangle

• Circle

• Triangle

• Trapezium

How is the trapezium base divided in the second example?

• Into two rectangles

• Into a square and a triangle

• Into a rectangle and a triangle

• Into two triangles

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

• 32 cm²

• 52 cm²

• 40 cm²

• 20 cm²

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

• 15 cm²

• 30 cm²

• 20 cm²

• 25 cm²