Volume of Composite Figures

The video tutorial explains how to find the volume of composite figures, starting with a rectangular prism and a triangular prism. It demonstrates calculating the volume of each shape and discusses the importance of exact and decimal answers. The tutorial then explores another composite figure, a rectangular prism topped with a half-cylinder, and explains how to calculate its volume. The video emphasizes understanding the properties of each shape and using appropriate formulas to find their volumes.

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

• Determine the weight

• Find the perimeter

• Calculate the surface area

• Identify the shapes involved

How do you calculate the volume of a rectangular prism?

• Length x width x height

• 1/2 x base x height

• πr^2 x height

• Base area x height

What is the formula for the area of an equilateral triangle?

• s^2√3/4

• 1/2 x base x height

• s^2

• 1/2 x (base x height)

Why can't the volumes of the rectangular and triangular prisms be directly added?

• They are not parallel

• They are in different units

• They are in different forms

• They have different dimensions

When should you use the exact form of an answer?

• When the answer is a whole number

• When asked for an exact answer

• When asked for an estimated answer

• When the answer is a decimal

What is unique about the cylinder in the second composite figure?

• It is a full cylinder

• It is a quarter cylinder

• It is half a cylinder

• It is a hollow cylinder

How do you calculate the volume of a cylinder?

• πr^2 x height

• Length x width x height

• 1/2 x base x height

• Base area x height

What is the radius of the cylinder in the second composite figure?

• 4.5

• 5

• 9

• 11

How is the volume of the half-cylinder calculated?

• Divide by 2

• Add 2

• Subtract 2

• Multiply by 2

What is the final step in finding the volume of the composite figure with the cylinder?

• Divide the volumes

• Multiply the volumes

• Add the volumes

• Subtract the volumes