Math Problem Statement
Solve the problems about the cube.
What is the volume of the cube?
4 cm
The volume of the cube is cubic cm.
Solution
To find the volume of a cube, we use the formula:
where is the length of a side of the cube.
Given that the side length , the volume is:
Thus, the volume of the cube is 64 cubic cm.
Would you like more details on this, or do you have any other questions?
Here are 5 related questions to explore further:
- What is the surface area of a cube with side length 4 cm?
- How does the volume of a cube change if the side length is doubled?
- What is the formula for the diagonal of a cube, and how is it calculated for this cube?
- How would the volume of the cube change if its side length was increased by 2 cm?
- What is the relationship between the surface area and volume of a cube?
Tip: The volume of any 3D object measures the space it occupies, so cubes with larger sides have exponentially larger volumes due to the cubic relationship!
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of 3D Shapes
Formulas
Volume = s^3
Theorems
None applicable (basic geometric concept)
Suitable Grade Level
Grades 5-7