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Answer
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SA = 25.5
V = 8.7615994544375
d = 3.5707142142714
Faces = 6
Sides (Edges) = 12
Vertices = 8

↓Steps Explained:↓

A cube has Lateral Area of 17

Calculate Surface Area, side, Volume.

Lateral Area Formula

LA = 4s2

Divide each side by 4:

s2  =  LA
  4

s2  =  17
  4

s2 = 4.25

s = √4.25

s = 2.0615528128088

Calculate Surface Area (SA):

SA = 6s2

SA = 6 * 2.06155281280882

SA = 6 * 4.25

SA = 25.5

Calculate Volume (V):

V = s3

V = 2.06155281280883

V = 8.7615994544375

Calculate the Cube Diagonal (d)

d = √3s

d = √3(2.0615528128088)

d = 1.7320508075689 x 2.0615528128088

d = 3.5707142142714

Other Properties:

Faces = 6

Sides (Edges) = 12

Vertices = 8

Final Answer

SA = 25.5
V = 8.7615994544375
d = 3.5707142142714
Faces = 6
Sides (Edges) = 12
Vertices = 8
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