# Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 254 cm

^{2}.**Result****Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):**

**Showing 2 comments:**

**Math student**

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

#### To solve this example are needed these knowledge from mathematics:

## Next similar examples:

- Cube in a sphere

The cube is inscribed in a sphere with volume 3724 cm^{3}. Determine the length of the edges of a cube. - Edges or sides

Calculate the cube volume, if the sum of the lengths of all sides is 276 cm. - Body diagonal

Calculate the volume and surface of the cube if the body diagonal measures 10 dm. - Cube surface and volume

Find the surface of the cube with a volume of 27 dm^{3}. - Dort

The cube-shaped cube box has the dimensions of 30 cm × 30 cm × 12 cm. How many CZK (Czech crowns) would cost be the biggest cake that would fit into the box when a 10 cm³ cake costs CZK 0.5? The cake has the same shape as the box. - Transforming cuboid

Cuboid with dimensions 8 cm, 13 and 16 cm is converted into a cube with the same volume. What is its edge length? - Spherical tank

The tank of a water tower is a sphere of radius 35ft. If the tank is filled to one quarter of full, what is the height of the water? - Cuboid

Cuboid with edge a=24 cm and body diagonal u=50 cm has volume V=17280 cm^{3}. Calculate the length of the other edges. - Children's pool

Children's pool at the swimming pool is 10m long, 5m wide and 50cm deep. Calculate: (a) how many m^{2}of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool? - Axial section

Axial section of the cone is equilateral triangle with area 208 dm^{2}. Calculate volume of the cone. - Cuboid

The cuboid has a surface area 7705 cm^{2}, the length of its edges are in the ratio 1:4:5. Calculate the volume of the cuboid. - Cone A2V

Surface of cone in the plane is a circular arc with central angle of 126° and area 415 dm^{2}. Calculate the volume of a cone. - Cylindrical tank 2

If a cylindrical tank with volume is used 12320cm raised to the power of 3 and base 28cm is used to store water. How many liters of water can it hold? - Reservoir 3

How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet? - Water level

How high is the water in the swimming pool with dimensions of 37m in length and 15m in width, if an inlet valve is opened for 10 hours flowing 12 liters of water per second? - TV transmitter

The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have. - Pool

The swimming pool is 4 m wide and 9 m long and 158 cm deep. How many hectoliters of water is in it, if the water is 27 cm below its upper edge.