# Stereometry - examples

- Stones in aquarium

In an aquarium with a length 2 m; width 1.5 m and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m^{3}into the aquarium without water being poured out? - Flowerbed

The flowerbed has a length 3500mm and a width 1400mm. How many foil is needed to covers the flowerbed? How many m^{2}of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosure? (F - Water reservoir

The water tank has a cuboid with edges a= 1 m, b=2 m , c = 1 m. Calculate how many centimeters of water level falls, if we fill fifteen 12 liters cans. - Oak cuboid

Oak timber is rectangular shaped with dimensions of 2m, 30 cm and 15 cm. It weight is 70 kg. Calculate the weight 1 dm³ of timber. - Cube

Calculate the surface cube with edge 29 dm. - Pool

The swimming pool is 6 m wide and 14 m long and 185 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, 9 and 17 cm is converted into a cube with the same volume. What is its edge length? - Hole

They fill shape hole with dimensions 2.5 m, 18 m, 11.8 m with 260 m^{3}of soil. How many percent it fill up? - Cubes

Cube, which consists of 27 small cubes with edge 3 dm has volume: - Lathe

From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed? - Rotating cone

Calculate volume of a rotating cone with base radius r=7 cm and height h=17 cm. - Sphere growth

How many times grow volume of sphere if radius rises 3×? - Air mass

What is the weight of the air in a classroom with dimensions 5 m × 2 m × 3.1 m ? The air density is 1.293 kg/m^{3.} - Cylinder

The cylinder-shaped container has 80 liters of water. The water reaches 45 cm height. How many liters of water will be in a container if water level extend to a height 72 cm? Write the result in liters, write down only as a whole or decimal number. - Pipes

Water pipe has a cross-section 1939 cm^{2.}An hour has passed 567 m^{3}of water. How much water flows through the pipe with cross-section 300 cm^{2}per 14 hours if water flow same speed? - Barrel of oil

Barrel of oil weighs 282 kg. When it mold 56% oil, weighed 138 kg. What is the mass of the empty barrel? - Volume from surface area

What is the volume of the cube whose surface area is 96 cm^{2}? - Fire tank

How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m^{3}of water? - Water

Into a full cylindrical tank high 2 with base radius 2.3 m we insert cuboid with dimensions 0.5 m, 1.3 m, 1.5 m. How many liters of water will come out? - Cube wall

Surface of first cube wall his 361 cm^{2}. Second cube area is 30% of the surface of the first cube. Determine the length of the edge of the second cube (x).

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