Math Problem Statement
Solution
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"a) Each edge of a Rubik's cube has a length of about 14 cm. What is the volume of the Rubik's cube?"
Solution:
To find the volume of a cube, we use the formula for the volume of a cube:
Where is the volume and is the length of an edge of the cube.
Given that the edge of the Rubik's cube is , the volume can be calculated as:
Thus, the volume of the Rubik's cube is .
Would you like further details or have any questions?
Here are some follow-up questions to expand your understanding:
- What is the surface area of the same Rubik's cube?
- How would the volume change if the edge length doubled?
- What is the formula for the surface area of a cube?
- Can you calculate the volume if the edge length is given in meters?
- How does the volume of a cube scale with respect to its edge length?
Tip: Always remember that the volume of a cube increases exponentially as the edge length increases, since it's proportional to the cube of the edge length.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Cube
Formulas
Volume of a cube V = s^3, where s is the length of an edge
Theorems
Geometric properties of a cube
Suitable Grade Level
Grades 6-8