A cube has Lateral Area of 7

Calculate Surface Area, side, Volume.

Lateral Area Formula

LA = 4s2

Divide each side by 4:

s2  =  LA
  4

s2  =  7
  4

s2 = 1.75

s = √1.75

s = 1.3228756555323

Calculate Surface Area (SA):

SA = 6s2

SA = 6 * 1.32287565553232

SA = 6 * 1.75

SA = 10.5

Calculate Volume (V):

V = s3

V = 1.32287565553233

V = 2.3150323971815

Calculate the Cube Diagonal (d)

d = √3s

d = √3(1.3228756555323)

d = 1.7320508075689 x 1.3228756555323

d = 2.2912878474779

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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