Math Problem Statement
The volume (V) of a cube can be determined when the length of each side (s) is known, using the formula below. Find the volume of a cube when: V = s3 ; s = 4 inches
Solution
To find the volume of the cube, we will use the formula:
where:
- is the volume of the cube.
- is the length of a side of the cube.
Given that inches, we can substitute this value into the formula:
So, the volume of the cube is 64 cubic inches.
Would you like further clarification or help with another problem? Here are a few related questions to explore:
- How do you calculate the surface area of a cube?
- What would the volume be if the side length was doubled to 8 inches?
- How is the volume formula for a cube derived from the formula for the volume of a rectangular prism?
- If a cube has a volume of 125 cubic inches, what is the length of each side?
- Can the formula for the volume of a cube be applied to other shapes? Why or why not?
Tip: To verify your calculations for the volume of a cube, always check if the side length is correctly cubed and double-check units for consistency.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume
Cube
Exponents
Formulas
V = s^3
Theorems
-
Suitable Grade Level
Grades 5-7