Volume of Composite Shapes

This video tutorial explains how to calculate the volume of composite shapes, which are made up of two or more individual shapes. The tutorial uses a specific shape that can be divided into a rectangular prism and a triangular prism. It provides step-by-step calculations for finding the volume of each prism using their respective formulas. Finally, it combines these volumes to find the total volume of the composite shape, resulting in a total of 300 cubic centimeters.

What is a composite shape?

• A shape made of two or more individual shapes

• A shape that cannot be measured

• A shape made of a single geometric figure

• A shape with no defined area

What are the dimensions of the base of the composite shape used in the video?

• 5 cm by 5 cm

• 5 cm by 4 cm

• 6 cm by 6 cm

• 6 cm by 5 cm

How is the composite shape divided in the video?

• Into two squares

• Into a cube and a sphere

• Into a rectangular prism and a triangular prism

• Into two circles

What is the formula for calculating the volume of a rectangular prism?

• Volume = length x height

• Volume = length + width + height

• Volume = length x width x height

• Volume = length x width / height

What is the volume of the rectangular prism in the example?

• 240 cm³

• 180 cm³

• 200 cm³

• 300 cm³

What is the formula for calculating the volume of a triangular prism?

• Volume = base x height x 2 x height of prism

• Volume = base x height / 2 x height of prism

• Volume = base x height x height of prism / 2

• Volume = base x height x height of prism

What is the volume of the triangular prism in the example?

• 80 cm³

• 60 cm³

• 50 cm³

• 70 cm³

What is the height of the triangular prism in the example?

• 6 cm

• 8 cm

• 5 cm

• 4 cm

What is the total volume of the composite shape?

• 300 cm³

• 250 cm³

• 200 cm³

• 350 cm³

How do you find the total volume of a composite shape?

• By multiplying the volumes of all individual shapes

• By adding the areas of all individual shapes

• By adding the volumes of all individual shapes

• By subtracting the volumes of all individual shapes