Math Problem Statement

Solve the problems about the cube.

What is the volume of the cube?

4 cm

The volume of the cube is  cubic cm.

Solution

To find the volume of a cube, we use the formula:

Volume=s3\text{Volume} = s^3

where ss is the length of a side of the cube.

Given that the side length s=4cms = 4 \, \text{cm}, the volume is:

Volume=43=64cubic cm\text{Volume} = 4^3 = 64 \, \text{cubic cm}

Thus, the volume of the cube is 64 cubic cm.

Would you like more details on this, or do you have any other questions?

Here are 5 related questions to explore further:

  1. What is the surface area of a cube with side length 4 cm?
  2. How does the volume of a cube change if the side length is doubled?
  3. What is the formula for the diagonal of a cube, and how is it calculated for this cube?
  4. How would the volume of the cube change if its side length was increased by 2 cm?
  5. What is the relationship between the surface area and volume of a cube?

Tip: The volume of any 3D object measures the space it occupies, so cubes with larger sides have exponentially larger volumes due to the cubic relationship!

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of 3D Shapes

Formulas

Volume = s^3

Theorems

None applicable (basic geometric concept)

Suitable Grade Level

Grades 5-7