A cube has Lateral Area of 10

Calculate Surface Area, side, Volume.

Lateral Area Formula

LA = 4s2

Divide each side by 4:

s2  =  LA
  4

s2  =  10
  4

s2 = 2.5

s = √2.5

s = 1.5811388300842

Calculate Surface Area (SA):

SA = 6s2

SA = 6 * 1.58113883008422

SA = 6 * 2.5

SA = 15

Calculate Volume (V):

V = s3

V = 1.58113883008423

V = 3.9528470752105

Calculate the Cube Diagonal (d)

d = √3s

d = √3(1.5811388300842)

d = 1.7320508075689 x 1.5811388300842

d = 2.7386127875258

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
  1. Cube volume = 2
  2. Cube surface area = 2
  3. Cube side = 2
  4. Cube lateral area = 2
  5. Cube volume = 3
  6. Cube surface area = 3
  7. Cube side = 3
  8. Cube lateral area = 3
  9. Cube volume = 4
  10. Cube surface area = 4
  11. Cube side = 4
  12. Cube lateral area = 4
  13. Cube volume = 5
  14. Cube surface area = 5
  15. Cube side = 5
  16. Cube lateral area = 5
  17. Cube volume = 6
  18. Cube surface area = 6
  19. Cube side = 6
  20. Cube lateral area = 6
  21. Cube volume = 7
  22. Cube surface area = 7
  23. Cube side = 7
  24. Cube lateral area = 7
  25. Cube volume = 8
  26. Cube surface area = 8
  27. Cube side = 8
  28. Cube lateral area = 8
  29. Cube volume = 9
  30. Cube surface area = 9
  31. Cube side = 9
  32. Cube lateral area = 9
  33. Cube volume = 10
  34. Cube surface area = 10
  35. Cube side = 10
  36. Cube lateral area = 10
  37. Cube volume = 11
  38. Cube surface area = 11
  39. Cube side = 11
  40. Cube lateral area = 11
  41. Cube volume = 12
  42. Cube surface area = 12
  43. Cube side = 12
  44. Cube lateral area = 12
  45. Cube volume = 13
  46. Cube surface area = 13
  47. Cube side = 13
  48. Cube lateral area = 13
  49. Cube volume = 14
  50. Cube surface area = 14
  51. Cube side = 14
  52. Cube lateral area = 14
  53. Cube volume = 15
  54. Cube surface area = 15
  55. Cube side = 15
  56. Cube lateral area = 15
  57. Cube volume = 16
  58. Cube surface area = 16
  59. Cube side = 16
  60. Cube lateral area = 16
  61. Cube volume = 17
  62. Cube surface area = 17
  63. Cube side = 17
  64. Cube lateral area = 17
  65. Cube volume = 18
  66. Cube surface area = 18
  67. Cube side = 18
  68. Cube lateral area = 18
  69. Cube volume = 19
  70. Cube surface area = 19
  71. Cube side = 19
  72. Cube lateral area = 19
  73. Cube volume = 20
  74. Cube surface area = 20
  75. Cube side = 20
  76. Cube lateral area = 20
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