Body diagonal - cube

Calculate the surface and cube volume with body diagonal 15 cm long.

Correct answer:

S =  450 cm2
V =  649.5191 cm3

Step-by-step explanation:

u=15 cm a=u/3=15/3=5 3 cm8.6603 cm  S=6 a2=6 8.66032=450 cm2
V=a3=8.66033=375 3=649.5191 cm3



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions:

  • Cube diagonals
    krychlicka Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
  • Body diagonal
    krychle Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
  • Surface and volume - cube
    cube_diagonals Find the surface and volume of a cube whose wall diagonal is 5 cm long.
  • Cuboid diagonals
    kvadr_diagonal The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals.
  • Body diagonal
    cube_diagonals Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
  • Cube wall
    cube_shield The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
  • Cube diagonals
    cube_diagonals The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.
  • Cube wall
    cubes Calculate the cube's diagonal if you know that one wall's surface is equal to 36 centimeters square. Please also calculate its volume.
  • Body diagonal
    cubes3 Find the cube surface if its body diagonal has a size of 6 cm.
  • Ratio-cuboid
    hranol222 The lengths of the edges of the cuboid are in the ratio 2: 3: 6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid.
  • Body diagonal
    kvadr_diagonal Calculate the volume of a cuboid whose body diagonal u is equal to 6.1 cm. Rectangular base has dimensions of 3.2 cm and 2.4 cm
  • Center of the cube
    center_of_cube The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube.
  • Axial cut of a rectangle
    cylinder_cut Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long.
  • Four sided prism
    hranol4sreg Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm and the body diagonal forms a 50-degree angle with the base plane.
  • Body diagonal
    space_diagonal Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm.
  • Quadrangular prism
    hranol4sreg Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal of 22 cm.
  • Body diagonal
    diagonal Calculate the length of the body diagonal of the 6cm cube.