Math Problem Statement
What is the volume, in cubic inches, of a cube with an edge length of 12 inches?
Solution
The volume of a cube is given by the formula:
where is the length of an edge of the cube.
Given that the edge length is inches, we can calculate the volume:
So, the volume of the cube is 1,728 cubic inches.
Would you like more details or have any further questions?
Here are 5 related questions to deepen your understanding:
- What is the surface area of a cube with an edge length of 12 inches?
- How does the volume of a cube change if the edge length is doubled?
- If the volume of a cube is 8,000 cubic inches, what is the edge length of the cube?
- What is the volume of a rectangular prism with dimensions 12 inches by 12 inches by 12 inches?
- How would you calculate the diagonal of a cube with a given edge length?
Tip: When scaling the edge length of a cube, the volume changes by the cube of the scaling factor!
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of a Cube
Exponents
Formulas
Volume of a cube: V = s^3
Theorems
Cube volume scaling theorem
Suitable Grade Level
Grades 6-8