Volume of a Rectangular Prism
Volume of a Rectangular Prism is a skill on Pengi from Lesson 42: Volume in Saxon Math, Course 3.
Key Concepts
Property For a rectangular prism, the volume ($V$) is the product of its length ($l$), width ($w$), and height ($h$). $$V = lwh$$.
Examples A classroom is 35 feet long, 25 feet wide, and 10 feet high. $V = lwh = (35 \text{ ft})(25 \text{ ft})(10 \text{ ft}) = 8750 \text{ ft}^3$. A shoebox has dimensions of 14 inches by 8 inches by 5 inches. $V = lwh = (14 \text{ in})(8 \text{ in})(5 \text{ in}) = 560 \text{ in}^3$.
Explanation This is a special version of the prism formula made just for boxy shapes! Since the base of a rectangular prism is a rectangle, its area ($B$) is simply length times width ($l \times w$). So, we can swap $B$ for $lw$ to get a fast and easy formula for anything from a classroom to a cereal box.
Common Questions
What is Volume of a Rectangular Prism?
Volume of a Rectangular Prism is a skill on Pengi from Lesson 42: Volume in Saxon Math, Course 3.
What grade level is Volume of a Rectangular Prism for?
Volume of a Rectangular Prism is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Volume of a Rectangular Prism?
Pengi offers an AI-guided lesson for Volume of a Rectangular Prism that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Volume of a Rectangular Prism?
After learning the concept, use the Practice mode to work through targeted exercises on Volume of a Rectangular Prism. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Volume of a Rectangular Prism?
Volume of a Rectangular Prism is covered in Saxon Math, Course 3, specifically in Chapter 5: Number & Operations • Algebra under Lesson 42: Volume. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Volume of a Rectangular Prism free to study on Pengi?
Yes, the core Learn and Practice modes for Volume of a Rectangular Prism are available for free on Pengi. No credit card is required to start studying.