A cube has Lateral Area of 12

Calculate Surface Area, side, Volume.

Lateral Area Formula

LA = 4s2

Divide each side by 4:

s2  =  LA
  4

s2  =  12
  4

s2 = 3

s = √3

s = 1.7320508075689

Calculate Surface Area (SA):

SA = 6s2

SA = 6 * 1.73205080756892

SA = 6 * 3

SA = 18

Calculate Volume (V):

V = s3

V = 1.73205080756893

V = 5.1961524227066

Calculate the Cube Diagonal (d)

d = √3s

d = √3(1.7320508075689)

d = 1.7320508075689 x 1.7320508075689

d = 3

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.
What 5 formulas are used for the Cube Calculator?
V=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 Calculator Video

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