Math Problem Statement

What is the volume of a cube whose edge is 14cm

Solution

The volume VV of a cube is calculated using the formula:

V=s3V = s^3

where ss is the length of one edge of the cube.

Given that the edge length is 14cm14 \, \text{cm}, the volume is:

V=143=14×14×14=2,744cm3V = 14^3 = 14 \times 14 \times 14 = 2,744 \, \text{cm}^3

So, the volume of the cube is 2,744 cm³.

Would you like further details or have any questions?

Here are 5 related questions you might be interested in:

  1. What is the surface area of a cube with the same edge length?
  2. How would the volume change if the edge length doubled?
  3. What is the volume of a cube whose edge is given in meters instead of centimeters?
  4. How does the volume of a cube compare to a sphere with the same edge/diameter?
  5. What are the units of volume if the edge length is in kilometers?

Tip: The volume of a cube increases significantly with even small increases in edge length because it's proportional to the cube of the edge length.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Solids

Formulas

Volume of a cube V = s^3

Theorems

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Suitable Grade Level

Grades 5-7