Section 1
Volume of a Cube
Property
A cube is a rectangular prism whose length, width, and height are all equal. For any cube with sides of length :
Volume:
In this Grade 8 Illustrative Mathematics lesson from Chapter 8: Pythagorean Theorem and Irrational Numbers, students explore the relationship between the side lengths and volumes of cubes, building understanding of how to find an unknown side length when the volume is known. The lesson lays the groundwork for cube roots and irrational numbers by asking students to reason about perfect and non-perfect cube volumes. This connects directly to the chapter's broader focus on number types and geometric measurement.
Section 1
Volume of a Cube
A cube is a rectangular prism whose length, width, and height are all equal. For any cube with sides of length :
Volume:
Section 2
Application: Finding Edge Length from the Volume of a Cube
The volume of a cube with an edge length of is given by the formula . To find the edge length of a cube from its volume, you must find the cube root of the volume.
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Section 1
Volume of a Cube
A cube is a rectangular prism whose length, width, and height are all equal. For any cube with sides of length :
Volume:
Section 2
Application: Finding Edge Length from the Volume of a Cube
The volume of a cube with an edge length of is given by the formula . To find the edge length of a cube from its volume, you must find the cube root of the volume.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter