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Answer
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SA = 22.5
V = 7.2618437741389
d = 3.3541019662497
Faces = 6
Sides (Edges) = 12
Vertices = 8

↓Steps Explained:↓

A cube has Lateral Area of 15

Calculate Surface Area, side, Volume.

Lateral Area Formula

LA = 4s2

Divide each side by 4:

s2  =  LA
  4

s2  =  15
  4

s2 = 3.75

s = √3.75

s = 1.9364916731037

Calculate Surface Area (SA):

SA = 6s2

SA = 6 * 1.93649167310372

SA = 6 * 3.75

SA = 22.5

Calculate Volume (V):

V = s3

V = 1.93649167310373

V = 7.2618437741389

Calculate the Cube Diagonal (d)

d = √3s

d = √3(1.9364916731037)

d = 1.7320508075689 x 1.9364916731037

d = 3.3541019662497

Other Properties:

Faces = 6

Sides (Edges) = 12

Vertices = 8

Final Answer

SA = 22.5
V = 7.2618437741389
d = 3.3541019662497
Faces = 6
Sides (Edges) = 12
Vertices = 8
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