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 VV of a cube is calculated using the formula:

V=s3V = s^3

where ss is the length of a side. Plugging in the given measurement:

V=103=10×10×10=1000 cubic centimeters (cm3)V = 10^3 = 10 \times 10 \times 10 = 1000 \text{ cubic centimeters (cm}^3\text{)}

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:

  1. How would the volume change if each side were doubled?
  2. What is the surface area of the food container?
  3. If the container was half-filled with water, how much water would it contain?
  4. How would you calculate the volume if it were a rectangular prism instead of a cube?
  5. 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 V=s3V = s^3.

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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