How to Determine the Volume of a Composite Solid

In this video tutorial, the instructor guides viewers through solving a standardized math test question involving the calculation of the total volume of a composite figure made up of two right rectangular prisms. The video begins with an introduction to the problem, followed by a detailed explanation of composite figures and how to divide them into individual prisms. The instructor then demonstrates the step-by-step process of calculating the volume of each prism using the formula for the volume of a rectangular prism. Finally, the volumes are summed to find the total volume, and the lesson concludes with a recap and encouragement to continue learning.

What is a composite figure?

• A figure that is flat and has no volume.

• A figure made up of two or more two-dimensional shapes.

• A figure made up of two or more three-dimensional solids.

• A figure with only one three-dimensional solid.

Which formula is used to calculate the volume of a right rectangular prism?

• 2 x (Length + Width + Height)

• Length x Width x Height

• Length x Width

• Length + Width + Height

If the dimensions of a right rectangular prism are 2 feet by 4 feet by 3 feet, what is its volume?

• 24 cubic feet

• 8 cubic feet

• 12 cubic feet

• 48 cubic feet

How do you find the missing side length if the total length is 6 feet and one part is 2 feet?

• Multiply 6 feet by 2

• Subtract 2 feet from 6 feet

• Add 2 feet to 6 feet

• Divide 6 feet by 2

What is the total volume of the composite figure if both prisms have a volume of 24 cubic feet each?

• 24 cubic feet

• 48 cubic feet

• 36 cubic feet

• 12 cubic feet