A cube has Surface Area (SA) of 20
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 = | √20 |
| √6 |
| s = | 4.4721359549996 |
| 2.4494897427832 |
s = 1.8257
Calculate Lateral Area (LA):
LA = 4s2
LA = 4 * 1.82572
LA = 4 *
LA = 13.33272196
Calculate Volume (V):
V = s3 V = 1.82573 V = 6.085387620593 d = √3s d = √3(1.8257) d = 1.7320508075689 x 1.8257 d = 3.1622051593785Calculate 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
