Math Problem Statement

What is the volume of a cube with all edges measuring 26 mm?

Solution

This is a cube with all edges measuring 26 mm. To calculate the volume of a cube, use the formula:

Volume=side3\text{Volume} = \text{side}^3

Here, the side length s=26mms = 26 \, \text{mm}. Substituting into the formula:

Volume=263=26×26×26=17,576mm3\text{Volume} = 26^3 = 26 \times 26 \times 26 = 17,576 \, \text{mm}^3

So, the volume of the cube is:

17,576mm3\boxed{17,576 \, \text{mm}^3}

Let me know if you'd like further clarification or have other questions!


Here are 5 related questions to expand your understanding:

  1. How do you calculate the surface area of a cube?
  2. What would the volume be if each side of the cube was doubled?
  3. How do you find the diagonal of a cube?
  4. What is the relationship between volume and surface area for a cube?
  5. How would the volume change if the cube was measured in centimeters instead?

Tip: For shapes like cubes, memorizing their volume and surface area formulas can save time during calculations!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Volume calculation for cubes

Formulas

Volume of a cube: side^3

Theorems

-

Suitable Grade Level

Grades 6-8