Volume of a rectangular prism: fractional cubes | Geometry | 6th grade | Khan Academy

TL;DR

Calculate the volume of a rectangular prism made up of unit cubes by multiplying the length, width, and height.

Transcript

• [Instructor] So I have this rectangular prism here, it's kind of the shape of a brick or a fish tank, and it's made up of these unit cubes. And each of these unit cubes, we're saying is 1/4 of a foot by 1/4 of a foot by 1/4 of a foot. So you could almost imagine that this is, so let me write it this way, this is a fourth of a foot, by 1/4 of a fo... Read More

Key Insights

• 🦶 The rectangular prism consists of unit cubes, each measuring 1/4 of a foot by 1/4 of a foot by 1/4 of a foot.
• 🧊 The volume of a rectangular prism can be calculated by multiplying the dimensions or by multiplying the volume of each unit cube by the total number of cubes.
• 🦶 The volume of the rectangular prism is 1/4 cubic feet, regardless of the method used for calculation.
• 🦶 Each unit cube has a volume of 1/64 cubic feet.
• 👾 Understanding volume is crucial for measuring and comparing the amount of space occupied by objects.
• 🔇 The dimensions of the rectangular prism can also be used to calculate the volume.
• 👾 The volume measurement in cubic feet gives an indication of the amount of space the rectangular prism occupies.

Questions & Answers

Q: How can the volume of a rectangular prism be calculated using unit cubes?

To calculate the volume of a rectangular prism, multiply the length, width, and height of the prism. In this case, the prism is made up of unit cubes, so the volume of each cube is 1/64 cubic feet.

Q: How many unit cubes are there in the given rectangular prism?

The rectangular prism has two layers, with 8 unit cubes in each layer. Therefore, there are a total of 16 unit cubes.

Q: Is there another method to calculate the volume of the rectangular prism?

Yes, you can also calculate the volume by multiplying the dimensions of length, width, and height. In this case, the length is 1 foot, the width is 1/2 foot, and the height is 1/2 foot, resulting in a volume of 1/4 cubic feet.

Q: What is the significance of the volume measurement in cubic feet?

Volume is a measure of the space occupied by an object. In this case, the volume of the rectangular prism represents the amount of space it takes up in cubic feet.

Summary & Key Takeaways

• The rectangular prism is composed of unit cubes that measure 1/4 of a foot in length, width, and height.

• The volume of each unit cube is 1/64 cubic feet.

• The rectangular prism has a total of 16 unit cubes and a volume of 1/4 cubic feet.