Math Problem Statement

What is the formula to find the volume of this cube?

What is the formula to find the volume of this cube?

Solution

The image shows a cube. The formula to find the volume of a cube is:

V=s3V = s^3

Where:

  • VV is the volume of the cube.
  • ss is the length of one side of the cube.

Since all sides of a cube are equal in length, the volume is simply the side length cubed.

Would you like more details or have any questions about this?

Here are 5 questions related to the cube's volume:

  1. How would the volume change if the side length of the cube is doubled?
  2. What is the surface area of a cube, and how is it related to the side length?
  3. Can you express the volume of a cube in terms of its diagonal length?
  4. How does the volume formula differ for a rectangular prism?
  5. If a cube has a side length of 5 cm, what is its volume?

Tip: The volume of any 3D shape is always in cubic units (e.g., cm³, m³). Make sure to convert units properly when solving such problems.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume
Cubes

Formulas

Volume of a cube V = s^3

Theorems

Volume Theorem for Cubes

Suitable Grade Level

Grades 6-8