Math Problem Statement

whats the volvume

whats the volvume

Solution

The image shows a 4x4x4 cube, which is made up of smaller cube units.

To calculate the volume of a cube, you can use the formula for volume:

V=a3V = a^3

where aa is the length of one side of the cube. In this case, a=4a = 4 units.

So the volume is:

V=43=4×4×4=64 cubic unitsV = 4^3 = 4 \times 4 \times 4 = 64 \text{ cubic units}

The volume of the cube is 64 cubic units.

Do you want more details or have any questions?

Here are 5 related questions:

  1. How does the volume change if the side length doubles?
  2. What is the surface area of this 4x4x4 cube?
  3. If you hollowed out the center of the cube, what would the new volume be?
  4. What is the formula for the volume of a rectangular prism?
  5. How many smaller cubes make up this 4x4x4 structure?

Tip: The volume of any three-dimensional shape increases rapidly as the side lengths grow, especially for cubes.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Cubic Units

Formulas

Volume of a cube: V = a^3

Theorems

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Suitable Grade Level

Grades 6-8