Center of the cube

Center of the cube has distance 33 cm from each vertex.

Calculate the volume V and surface area S of the cube.

Result

V =  55328.6 cm3
S =  8712 cm2

Solution:

u=233=66 cm u=3a a=u3=663=38.105 cm V=a3=38.1053=55328.6 cm3u = 2 \cdot 33 = 66 \ cm \ \\ u = \sqrt{3} a \ \\ a = \dfrac{u}{\sqrt{3}} = \dfrac{ 66 }{\sqrt{3}} = 38.105 \ cm \ \\ V = a^3 = 38.105^3 = 55328.6 \ \text{cm}^3
S=6a2=638.1052=8712 cm2S = 6a^2 = 6\cdot 38.105^2 = 8712 \ \text{cm}^2



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Cube corners
    polyhedra-truncated-cube From cube of edge 14 cm cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will have this body?
  2. Body diagonal
    krychle_12 Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
  3. Body diagonal - cube
    cube_shield Calculate the surface and cube volume with body diagonal 15 cm long.
  4. Wall diagonal
    cube_6 Calculate the length of wall diagonal of the cube whose surface is 384 cm square.
  5. Cube corners
    2cube The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut?
  6. Cube surface area
    cube_5 Wall of cube has content area 99 cm square. What is the surface of the cube?
  7. Body diagonal
    cubes3_1 Find the cube surface if its body diagonal has a size of 6 cm.
  8. Surface area of a cube
    cube_shield What is the surface area of a cube that has an edge of 3.5?
  9. Four ropes
    vysilac TV transmitter is anchored at a height of 44 meters by four ropes. Each rope is attached at a distance of 55 meters from the heel of the TV transmitter. Calculate how many meters of rope were used in the construction of the transmitter. At each attachment.
  10. Cableway
    cable-car Cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than the base station.
  11. Tetrahedral pyramid
    jehlan_4b_obdelnik_3 Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
  12. Median
    1taznice_rt In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians tc to the hypotenuse.
  13. Diagonals in diamons/rhombus
    diamonds Rhombus ABCD has side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal.
  14. The ditch
    prikop Ditch with cross section of an isosceles trapezoid with bases 2m 6m are deep 1.5m. How long is the slope of the ditch?
  15. Satin
    diagonal_rectangle_3 Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin?
  16. Square2
    square_2 Side of the square is a = 6.2 cm, how long is its diagonal?
  17. Height
    thales_law Is right that in any right triangle height is less or equal half of the hypotenuse?