Volume of Rectangular Prisms

This video tutorial teaches how to find the volume of a rectangular prism by developing a formula. It begins with a review of perimeter, area, and volume, explaining that volume measures the space inside a three-dimensional shape. The tutorial uses a LearnZillion moving truck as an example, demonstrating how to calculate the volume by filling it with unit cubes. The process involves understanding the dimensions of the truck's back, drawing lines to represent cubes, and calculating the number of cubes in each layer. The video concludes by applying the volume formula, confirming the calculation of 280 cubic feet, which equates to 280 boxes fitting in the truck.

What does the perimeter of a shape measure?

• The space inside a three-dimensional shape

• The distance around a shape

• The space inside a two-dimensional shape

• The number of cubes in a shape

How do we measure the area of a shape?

• Using cubic units

• Using linear units

• Using square units

• Using circular units

What is a common mistake when visualizing the volume of a rectangular prism?

• Ignoring the height

• Counting only visible cubes

• Counting the perimeter

• Using square units

What are the dimensions of the LearnZillion truck's back?

• 12 feet by 7 feet by 5 feet

• 8 feet by 6 feet by 4 feet

• 10 feet by 7 feet by 4 feet

• 10 feet by 5 feet by 3 feet

How many cubic feet are in the bottom layer of the truck?

• 20 cubic feet

• 30 cubic feet

• 40 cubic feet

• 50 cubic feet

How many layers of boxes are there in the truck?

• 5 layers

• 8 layers

• 7 layers

• 6 layers

What is the total number of boxes that can fit in the truck?

• 200 boxes

• 240 boxes

• 280 boxes

• 320 boxes

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

• Width x Height

• Length x Width

• Length x Width x Height

• Length + Width + Height

How do you verify the volume calculation?

• By multiplying the dimensions

• By dividing the dimensions

• By subtracting the dimensions

• By adding the dimensions

What is the final volume of the truck in cubic feet?

• 320 cubic feet

• 280 cubic feet

• 240 cubic feet

• 200 cubic feet