Volume of Prisms and Shapes

The video tutorial explains the concept of additive volume, which involves calculating the volume of two different rectangular prisms and adding them together to find the total volume of an irregular shape. The tutorial provides two examples: one with red and blue prisms and another with black and green prisms. In each example, the dimensions of the prisms are given, and the volume is calculated using the formula: length × width × height. The volumes of the individual prisms are then added to find the total volume of the combined shape.

What is the main idea behind additive volume?

• Subtracting the volume of one shape from another

• Multiplying the volumes of two shapes

• Adding the volumes of two different shapes to find the total volume

• Dividing the volume of one shape by another

In the first example, what do the red and blue prisms share?

• The same height

• The same volume

• The same length

• The same width

How do you calculate the volume of a rectangular prism?

• Width x Height

• Length x Width x Height

• Length + Width + Height

• Length x Width

What is the volume of the red prism in the first example?

• 16 units cubed

• 36 units cubed

• 84 units cubed

• 52 units cubed

What is the total volume of the shape in the first example?

• 52 units cubed

• 84 units cubed

• 16 units cubed

• 36 units cubed

In the second example, what color is the prism that is standing up?

• Black

• Green

• Red

• Blue

What is the volume of the black prism in the second example?

• 16 units cubed

• 52 units cubed

• 84 units cubed

• 36 units cubed

What is the volume of the green prism in the second example?

• 16 units cubed

• 36 units cubed

• 84 units cubed

• 52 units cubed

What is the total volume of the shape in the second example?

• 52 units cubed

• 36 units cubed

• 84 units cubed

• 120 units cubed

Why is the volume measured in cubic units?

• Because it involves two dimensions

• Because it involves three dimensions

• Because it involves one dimension

• Because it involves four dimensions