# Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 257 mm2.

Result

V1-V2 =  512.6 mm3

#### Solution:

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

Math student
What do all those symbols mean? Is there a more simple format...that you could put this in?

Petr
S - surface area of cube
V - volume of cube(s)

#### 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. Cubes
Cube, which consists of 27 small cubes with edge 4 dm has volume:
2. Cube in sphere
The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
3. Cube from sphere
What largest surface area (in cm2) can have a cube that was cut out of a sphere with radius 43 cm?
4. Sphere area
A cube with edge 1 m long is circumscribed sphere (vertices of the cube lies on the surface of a sphere). Determine the surface area of the sphere.
5. Cube volume
The cube has a surface of 384 cm2. Calculate its volume.
6. 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?
7. Hole
In the center of the cube with edge 14 cm we will drill cylinder shape hole. Volume of the hole must be 27% of the cube. What drill diameter should be chosen?
8. Volume from surface area
What is the volume of the cube whose surface area is 96 cm2?
9. Cuboid
Find the cuboid that has the same surface area as the volume.
10. Sphere - parts
Calculate the area of a spherical cap, which is part of an area with base radius ρ = 9 cm and a height v = 3.1 cm.
11. Fit ball
What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
12. Gasholder
The gasholder has spherical shape with a diameter 20 m. How many m3 can hold in?
13. Tetrahedron
Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
14. Triangular prism
Calculate the surface area and volume of a triangular prism, base right triangle if a = 3 cm, b = 4 cm, c = 5 cm and height of prism h=12 cm.
15. Axial section
Axial section of the cone is an equilateral triangle with area 208 dm2. Calculate the volume of the cone.
16. Calculation
How much is sum of square root of six and the square root of 225?
17. 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?