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

TL;DR

Learn how to calculate the volume of a rectangular prism using fractions for the dimensions, resulting in a volume of 3/10 units cubed.

Transcript

• [Narrator] Let's see if we can calculate the volume of this rectangular prism or, I guess, you'd think this thing, the shape of a brick or a fish tank right over here. And what's interesting is now that the dimensions are actually fractions, we have a width or, I guess, yeah, we could call this the width. The width here is 3/5ths of a unit. The l... Read More

Key Insights

• 🔇 Fractions can be used to represent dimensions in calculating the volume of a rectangular prism.
• ⚾ The formula for volume involves multiplying the area of the base by the height.
• ✖️ Converting mixed numbers to improper fractions is helpful in fraction multiplication.

Questions & Answers

Q: What are the dimensions of the rectangular prism in the video?

The width is 3/5, the length is 1 and 1/6, and the height is 3/7 units.

Q: What is the formula for finding the volume of a rectangular prism?

The volume of a rectangular prism is calculated by multiplying the area of the base by the height.

Q: How can you convert mixed numbers to improper fractions?

To convert mixed numbers to improper fractions, multiply the whole number by the denominator, then add the numerator. Place the result over the original denominator.

Q: What is the simplified form of the volume calculation in the video?

The volume of the rectangular prism is 3/10 units cubed, which means that 3/10 of a unit cube can fit inside it.

Summary & Key Takeaways

• The video teaches how to calculate the volume of a rectangular prism with fractional dimensions.

• The formula for volume is given as the area of the base multiplied by the height.

• The dimensions of the rectangular prism are given as 3/5 for the width, 1 and 1/6 for the length, and 3/7 for the height.