Kuution laskin
Laske kuution tilavuus, pinta-ala ja lävistäjät 3D visualisoinnin ja vaihe vaiheelta -ratkaisuilla
Tulokset
Syötä arvot ja klikkaa Laske nähdäksesi tuloksen.
Theory & Formula
What is a Cube?
A cube is a three-dimensional solid object with six square faces, twelve edges, and eight vertices. All edges are equal in length, and all angles are right angles.
Cube Formulas
Volume:
\(V = s^3\)Surface Area:
\(SA = 6s^2\)Face Diagonal:
\(d_{face} = s\sqrt{2}\)Space Diagonal:
\(d_{space} = s\sqrt{3}\)Properties of a Cube
- All 6 faces are congruent squares
- All 12 edges are equal in length
- All 8 vertices are identical (3 edges meet at right angles)
- A cube has 4 space diagonals connecting opposite vertices
Example
Find the volume and surface area of a cube with side length 5 units:
\(V = s^3 = 5^3 = 125 \text{ cubic units}\)\(SA = 6s^2 = 6 \times 5^2 = 6 \times 25 = 150 \text{ square units}\)