# Cube diagonals

Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.

Result

V =  1939453.499 cm3
S =  93312 cm2

#### Solution:  Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### To solve this example are needed these knowledge from mathematics:

Tip: Our volume units converter will help you with converion of volume units. Pythagorean theorem is the base for the right triangle calculator.

## Next similar examples:

1. Body diagonal - cube Calculate the surface and cube volume with body diagonal 15 cm long.
2. Body diagonal Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
3. Cube 1-2-3 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.
4. Cube volume The cube has a surface of 384 cm2. Calculate its volume.
5. Pyramid in cube In a cube with edge 12 dm long we have inscribed pyramid with the apex at the center of the upper wall of the cube. Calculate the volume and surface area of the pyramid.
6. Cuboid Find the cuboid that has the same surface area as the volume.
7. Volume from surface area What is the volume of the cube whose surface area is 96 cm2?
8. Body diagonal Find the cube surface if its body diagonal has a size of 6 cm.
9. Cube corners 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? The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area.
11. Cone container Rotary cone-shaped container has a volume 1000 cubic cm and a height 12 cm. Calculate how much metal we need for making this package.
12. Surface area The volume of a cone is 1000 cm3 and the content area of the axis cut is 100 cm2. Calculate the surface area of the cone.
13. Volume and surface Calculate the volume and surface area of the cylinder when the cylinder height and base diameter is in a ratio of 3:4 and the area of the cylinder jacket is 24 dm2.
14. Wall height Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm.
15. Tetrahedron Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
16. Theorem prove We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
17. Holidays - on pool Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?