# Solid geometry, stereometry

Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry deals with the measurements of volumes of various solid figures (three-dimensional figures) including pyramids, prisms and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.

- Cube into sphere

The cube has brushed a sphere as large as possible. Determine how much percent was the waste. - Hemispherical hollow

The vessel hemispherical hollow is filled with water to a height of 10 cm =. How many liters of water are inside if the inside diameter of the hollow is d = 28cm? - Equilateral cylinder

A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - An oil

An oil drum is cut in half. One half is used as a water trough. Use the dimensions; length 82cm, width 56cm to estimate the capacity of the water trough in liters. - Cube edges

The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube. - The diagram

The diagram is a cone of radius 8cm and height 10cm. The diameter of the base is. .. - If one

If one litre of pant covers an area of 5 m^{2}how much paint is needed to cover: a) rectangular swimming pool With dimensions 4m x 3m x 2.5m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir with diameter 3m and - Stones in aquarium

In an aquarium with a length of 2 m, 1.5 m wide and 2.5 m deep, the water is up to three-quarters of the depth. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes) - Cylinder melted into cuboid

A circular cylinder has area of cross section 56cm^{2}and the height is 10cm the cylinder is melted and made into a cuboid of base area 16cm^{2.}What is the height of the cuboid? - Big cube

Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long. - The volume

The volume of a solid cylinder is 260 cm^{3}the cylinder is melt down into a cuboid, whose base is a square of 5cm, calculate the height of the cuboid and the surface area of the cuboid - The tank

The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank? - Alaska vs Montana

Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area that is approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana? - Cuboid

The cuboid has a surface area 1771 cm^{2,}the length of its edges are in the ratio 5:2:4. Calculate the volume of the cuboid. - Pool

The swimming pool is 10 m wide and 22 m long and 191 cm deep. How many hectoliters of water is in it, if the water is 9 cm below its upper edge. - Transforming cuboid

Cuboid with dimensions 10 cm, 17 and 17 cm is converted into a cube with the same volume. What is its edge length? - Sphere

Surface of the sphere is 2820 cm^{2,}weight is 71 kg. What is its density? - Eiffel Tower

Eiffel Tower in Paris is 300 meters high, is made of steel. Its weight is 8000 tons. How tall is the tower model made of the same material, if it weigh is 2.4 kg? - Pipes

Water pipe has a cross-section 1405 cm^{2.}An hour has passed 756 m^{3}of water. How much water flows through the pipe with cross-section 300 cm^{2}per 15 hours if water flow same speed? - Tanks

Fire tank has cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used, if the water level in the tank fallen 5 cm? Wr

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