# 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.

- Bricks

Brick has volume 2.2 dm^{3}. How many bricks can drive truck with capacity 23 ton? The density of brick is 1.6 g/cm^{3}. - Trunk

Calculate length of the biggest fishing rod can be inserted into the trunk of a car with dimensions 165 x 99 × 85 cm? - Transforming cuboid

Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length? - Kitchen

Kitchen roller has a diameter 70 mm and width of 359 mm. How many square millimeters roll on one turn? - Pipes

Water pipe has a cross-section 1087 cm^{2}. An hour has passed 960 m^{3}of water. How much water flows through the pipe with cross-section 300 cm^{2}per 9 hours if water flow same speed? - Lead cube

Calculate the edge of the cube made from lead, which weighs 19 kg. The density of lead is 11341 kg/m^{3}. - Truncated cone

Calculate the volume of a truncated cone with base radiuses r_{1}=13 cm, r_{2}= 10 cm and height v = 8 cm. - Cone and cube

About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r? - Conserving water

Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in pipeline. Residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m^{3}. - Copper sheet

The copper plate has a length of 1 m, width 94 cm and weighs 9 kg. What is the plate thickness, if 1 m^{3}weighs 8715 kg? - Aquarium II

Calculate how much glass we need to build an aquarium with a rectangular shape with base 70 cm × 70 cm and a height of 70 cm, if the waste is 2%. Aquarium haven't top glass. - Solid in water

The solid weighs in air 11.8 g and in water 10 g. Calculate the density of the solid. - Air mass

What is the weight of the air in a classroom with dimensions 10 m × 10 m × 2.7 m ? The air density is 1.293 kg/m^{3}. - Barrel of oil

Barrel of oil weighs 283 kg. When it mold 26% oil, weighed 216 kg. What is the mass of the empty barrel? - Copper plate

Copper plate length 3.2 m and width 50 cm weighs 55.42 kg. What is the plate thick, if 1 m^{3}of copper weighs about 8700 kg? - Cylinder - A&V

The cylinder has a volume 1287. The base has a radius 10. What is the area of surface of the cylinder? - Sphere growth

How many times grow volume of sphere if diameter rises 10×? - Sphere fall

How many percent fall volume of sphere if diameter fall 10×? - Sphere A2V

Surface of the sphere is 241 mm^{2}. What is its volume? - Cone in cylinder

The cylinder is inscribed cone. Determine the ratio of the volume of cone and cylinder. The ratio express as a decimal number and as percentage.

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