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:

Solution in text V =
Solution in text S =

Try another example






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

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




To solve this example are needed these knowledge from mathematics:

Pythagorean theorem is the base for the right triangle calculator.

Next similar examples:

  1. Body diagonal
    krychle_12 Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
  2. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
  3. Wall diagonal
    cube_6 Calculate the length of wall diagonal of the cube whose surface is 384 cm square.
  4. Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  5. Cube surface area
    cube_5 Wall of cube has content area 99 cm square. What is the surface of the cube?
  6. Body diagonal
    cubes3_1 Find the cube surface if its body diagonal has a size of 6 cm.
  7. Cube - wall
    cubes_2 V kocke ABCDEFGH je ?. Aký je povrch kocky?
  8. Support colum
    pillar-diamond Calculate the volume and surface of the support column that is shaped as perpendicular quadrangular prism whose base is a rhombus with a diagonals u1 = 102 cm u2 = 64 cm. Column height is 1. 5m.
  9. 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.
  10. Euclid2
    euclid In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
  11. ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  12. 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?
  13. 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?
  14. Square2
    square_2 Side of the square is a = 6.2 cm, how long is its diagonal?
  15. Spherical cap
    koule2 What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
  16. Church roof
    veza_2 The roof of the church tower has the shape of a regular tetrahedral pyramid with base edge length 5.4 meters and a height 5 m. It was found that needs to be corrected 27% covering of the roof area. What amount of material will be required?
  17. Vector 7
    vectors_sum0_1 Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.