Math Problem Statement

Find the volume of the cube. The side length is 3.9 meters.

Solution

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

V=s3V = s^3

where ss is the side length of the cube.

From the image, the given side length is 3.93.9 meters.

V=(3.9)3V = (3.9)^3

V=3.9×3.9×3.9V = 3.9 \times 3.9 \times 3.9

V=59.319 m3V = 59.319 \text{ m}^3

So, the volume of the cube is 59.319 m³.

Would you like a step-by-step breakdown or explanation?

Here are five related questions for more practice:

  1. What is the volume of a cube with a side length of 5.2 meters?
  2. If the volume of a cube is 125 m³, what is the side length?
  3. How does doubling the side length of a cube affect its volume?
  4. What are the units of volume, and why is it measured in cubic meters?
  5. Can the volume formula for a cube be applied to a rectangular prism? Why or why not?

Tip:

When working with cubes, remember that a small change in side length results in a large change in volume due to the exponent of 3!

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of a Cube

Formulas

V = s^3

Theorems

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Suitable Grade Level

Grades 7-9