A cube has Surface Area (SA) of 10
Calculate side, Lateral Area, Volume.
Surface Area of a Cube:
SA = 6s2
Divide each side by 6
| SA | |
| 6 |
| = |
| 6s2 |
| 6 |
| s2 = | SA |
| 6 |
Take the square root of both sides
| s = | √SA |
| √6 |
| s = | √10 |
| √6 |
| s = | 3.1622776601684 |
| 2.4494897427832 |
s = 1.291
Calculate Lateral Area (LA):
LA = 4s2
LA = 4 * 1.2912
LA = 4 *
LA = 6.666724
Calculate Volume (V):
V = s3 V = 1.2913 V = 2.151685171 d = √3s d = √3(1.291) d = 1.7320508075689 x 1.291 d = 2.2360775925714Calculate the Cube Diagonal (d)
Other Properties:
Faces = 6
Sides (Edges) = 12
Vertices = 8
Common Core State Standards In This Lesson
5.MD.C.3.A
How does the Cube Calculator work?
Free Cube Calculator - Solves for Volume (Capacity), Lateral Area,Surface Area, and the value of a side for a cube.
This calculator has 1 input.
This calculator has 1 input.
What 5 formulas are used for the Cube Calculator?
V=s^3
SA=6s^2
LA=4s^2
D=s√3
SA=6s^2
LA=4s^2
D=s√3
What 6 concepts are covered in the Cube Calculator?
- capacity
- the maximum amount that something can contain
- cube
- solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges
- lateral area
- the calculation of the area of one side of a three-dimensional object
- side
- line segment joining two vertices in a polygon also known as an edge
- surface area
- the amount of space covering the outside of a three-dimensional shape.
- volume
- quantity of 3-dimensional space
Example calculations for the Cube Calculator
- Cube volume = 2
- Cube surface area = 2
- Cube side = 2
- Cube lateral area = 2
- Cube volume = 3
- Cube surface area = 3
- Cube side = 3
- Cube lateral area = 3
- Cube volume = 4
- Cube surface area = 4
- Cube side = 4
- Cube lateral area = 4
- Cube volume = 5
- Cube surface area = 5
- Cube side = 5
- Cube lateral area = 5
- Cube volume = 6
- Cube surface area = 6
- Cube side = 6
- Cube lateral area = 6
- Cube volume = 7
- Cube surface area = 7
- Cube side = 7
- Cube lateral area = 7
- Cube volume = 8
- Cube surface area = 8
- Cube side = 8
- Cube lateral area = 8
- Cube volume = 9
- Cube surface area = 9
- Cube side = 9
- Cube lateral area = 9
- Cube volume = 10
- Cube surface area = 10
- Cube side = 10
- Cube lateral area = 10
- Cube volume = 11
- Cube surface area = 11
- Cube side = 11
- Cube lateral area = 11
- Cube volume = 12
- Cube surface area = 12
- Cube side = 12
- Cube lateral area = 12
- Cube volume = 13
- Cube surface area = 13
- Cube side = 13
- Cube lateral area = 13
- Cube volume = 14
- Cube surface area = 14
- Cube side = 14
- Cube lateral area = 14
- Cube volume = 15
- Cube surface area = 15
- Cube side = 15
- Cube lateral area = 15
- Cube volume = 16
- Cube surface area = 16
- Cube side = 16
- Cube lateral area = 16
- Cube volume = 17
- Cube surface area = 17
- Cube side = 17
- Cube lateral area = 17
- Cube volume = 18
- Cube surface area = 18
- Cube side = 18
- Cube lateral area = 18
- Cube volume = 19
- Cube surface area = 19
- Cube side = 19
- Cube lateral area = 19
- Cube volume = 20
- Cube surface area = 20
- Cube side = 20
- Cube lateral area = 20
