Finding Volume of Rectangular Prisms with Unit Cubes

This video tutorial teaches how to find the volume of a rectangular prism with whole number edge lengths by packing it with unit cubes. It begins with a review of the concept of volume as the number of cubic units needed to fill a space. The video explains how to calculate the volume of a cube by cubing the side length and demonstrates this with a practical example using unit cubes. It then applies the same method to a rectangular prism, verifying the results with the traditional volume formula. The tutorial emphasizes understanding volume through practical examples and calculations.

What is the volume of a shape defined as?

• The surface area of the shape

• The number of cubic units inside the shape

• The length of the shape

• The perimeter of the shape

How do you calculate the volume of a cube using its side length?

• Add the side length to itself three times

• Multiply the side length by two

• Square the side length

• Cube the side length

What is the volume of a unit cube with side length one inch?

• Three cubic inches

• One cubic inch

• Nine cubic inches

• Twenty-seven cubic inches

How many unit cubes make up a larger cube with a side length of three inches?

• Twenty-seven

• Nine

• Three

• Eighty-one

What traditional method is used to verify the volume found by packing?

• Subtracting the dimensions

• Adding the dimensions

• Multiplying the dimensions

• Dividing the dimensions

What are the dimensions of the rectangular prism discussed in the video?

• 2 cm by 2 cm by 3 cm

• 1 cm by 1 cm by 1 cm

• 2 cm by 3 cm by 4 cm

• 3 cm by 3 cm by 3 cm

How many layers does the discussed rectangular prism have?

• Three

• One

• Two

• Four

What is the volume of each layer of the rectangular prism?

• Ten cubic centimeters

• Eight cubic centimeters

• Twelve cubic centimeters

• Six cubic centimeters

How is the total volume of the rectangular prism calculated using the packing method?

• By adding the volume of each layer

• By multiplying the volume of each layer

• By dividing the volume of each layer

• By subtracting the volume of each layer

What formula is used to verify the volume of the rectangular prism?

• Length plus width plus height

• Length divided by width divided by height

• Length times width times height

• Length minus width minus height