Calculating Volumes and Areas of Prisms

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 approach different base shapes and calculate their volumes accurately.

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

• Calculate the perimeter of the base

• Find the area of the base

• Determine the type of prism

• Measure the height of the prism

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

• Into a square and a rectangle

• Into two rectangles

• Into a rectangle and a triangle

• Into two triangles

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

• 90 cm²

• 140 cm²

• 100 cm²

• 230 cm²

How do you calculate the total area of the base in the first example?

• Divide the larger area by the smaller area

• Multiply the areas of the two rectangles

• Add the areas of the two rectangles

• Subtract the smaller area from the larger area

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

• 690 cm³

• 460 cm³

• 320 cm³

• 230 cm³

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

• Rectangle

• Triangle

• Trapezium

• Circle

How is the trapezium base divided in the second example?

• Into a rectangle and a triangle

• Into two triangles

• Into two rectangles

• Into a square and a triangle

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

• 32 cm²

• 40 cm²

• 20 cm²

• 52 cm²

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

• 40 cm²

• 52 cm²

• 20 cm²

• 32 cm²

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

• 400 cm³

• 260 cm³

• 312 cm³

• 350 cm³