Volume of Composite Solids

The video tutorial explains how to find the volume of composite solids by breaking them into simpler shapes. It provides two examples: a prism with a cylinder cutout and a rectangular prism with a pyramid on top. The tutorial demonstrates calculating the volume of each component and combining or subtracting them to find the total volume.

What is the first step in finding the volume of composite solids?

• Calculate the surface area of the solid.

• Break the solid into known shapes.

• Find the perimeter of the solid.

• Measure the weight of the solid.

What is the purpose of breaking down composite solids into known shapes?

• To simplify the calculation of their volume

• To make them look more complex

• To increase their weight

• To change their color

In the first example, what shape is the front of the prism?

• Circle

• Triangle

• Rectangle

• Trapezium

How do you calculate the area of the trapezium in the prism?

• Base times height

• Sum of parallel sides times height divided by 2

• Length times width

• Radius squared times pi

What is the depth of the prism in the first example?

• 10 cm

• 12 cm

• 8 cm

• 14 cm

What is the radius of the cylinder in the first example?

• 3 cm

• 1.5 cm

• 2 cm

• 4 cm

What is the formula for the volume of a cylinder?

• Pi times radius squared times height

• Sum of all sides

• Base area times height

• Length times width times height

How is the total volume of the first composite solid found?

• By multiplying the volumes of the prism and cylinder

• By subtracting the cylinder's volume from the prism's volume

• By adding the volumes of the prism and cylinder

• By dividing the prism's volume by the cylinder's volume

What is the final volume of the first composite solid rounded to one decimal place?

• 1,400 cm³

• 1,235.2 cm³

• 1,320 cm³

• 84.823 cm³

What is the total volume of the first composite solid before subtracting the cylinder's volume?

• 1,400 cm³

• 1,500 cm³

• 1,320 cm³

• 1,200 cm³