Math Problem Statement
Elena bought a food container which measures 10 cm on each side. What is the volume of the food container?
Solution
The food container Elena bought is a cube with each side measuring 10 cm. The volume of a cube is calculated using the formula:
where is the length of a side. Plugging in the given measurement:
So, the volume of the food container is 1000 cubic centimeters (cm³).
Would you like further details or have any questions?
Here are some related questions:
- How would the volume change if each side were doubled?
- What is the surface area of the food container?
- If the container was half-filled with water, how much water would it contain?
- How would you calculate the volume if it were a rectangular prism instead of a cube?
- How do you convert the volume from cubic centimeters to liters?
Tip: The volume of a cube increases dramatically as the side length increases, following the cubic relationship .
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Solids
Formulas
Volume of a cube: V = s^3
Theorems
Cubic relationship for volume: V = s^3
Suitable Grade Level
Grades 5-6