Volume and Methods of Prisms

The video tutorial explains how to find the volume of composite figures made up of two rectangular prisms. It demonstrates three methods: breaking the figure vertically, horizontally, and using subtraction. Each method involves calculating the volume of individual prisms and combining them to find the total volume. The tutorial emphasizes that regardless of the method used, the result remains consistent. The video concludes with a call to action for viewers to like and subscribe.

What is a composite figure made up of?

• Two or more cubes

• Two or more rectangular prisms

• A single rectangular prism

• A single cube

How do you find the width of the first prism when cutting vertically?

• By adding the lengths of both prisms

• By using the width of the original figure

• By subtracting the length of the second prism from the original figure

• By measuring the height of the original figure

What is the volume of the first prism when cut vertically?

• 48 inches cubed

• 36 inches cubed

• 60 inches cubed

• 72 inches cubed

When cutting horizontally, how is the height of the first prism determined?

• By measuring the width of the original figure

• By adding the heights of both prisms

• By subtracting the height of the second prism from the original figure

• By using the height of the original figure

What is the volume of the second prism when cut horizontally?

• 60 inches cubed

• 48 inches cubed

• 36 inches cubed

• 72 inches cubed

How is the greatest possible volume calculated in the subtraction method?

• By subtracting the volume of the empty space

• By multiplying the dimensions of the original figure

• By adding the volumes of all prisms

• By dividing the volume of the original figure by two

What is the volume of the empty space in the subtraction method?

• 36 inches cubed

• 72 inches cubed

• 60 inches cubed

• 48 inches cubed

What is the final volume of the composite figure using the subtraction method?

• 180 inches cubed

• 72 inches cubed

• 60 inches cubed

• 108 inches cubed

Which method involves considering the empty space as a separate prism?

• Vertical cutting method

• Addition method

• Horizontal cutting method

• Subtraction method

What is the key takeaway from the video regarding the methods used?

• Only the vertical method is accurate

• The subtraction method is the easiest

• All methods yield different results

• All methods yield the same result