Volume + length - practice problems - page 11 of 23
Number of problems found: 450
- Cylinder
The 1.8m cylinder contains 2000 liters of water. What is the area (in dm2) of this container is the water? - Block-shaped 13521
A block-shaped aquarium with dimensions of 82 cm, 30 cm, at 7.6 cm is filled with 70% water. How many liters of water is in it? What height does the water reach? From what% of the sidewall area is wetting? - Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³? - Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area). - Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water? - Calculate 9981
The iron pipe has a length of 2m and a diameter of 4cm. If the density of iron is 7870 kg/m3, calculate its weight. - Half-cylinder 9961
The water feeding trough for cattle has the shape of a half-cylinder with a length of 2 m and a width of 0.8 m. How many m³ of water can be poured into the gutter? How many m² do we need to produce 25 such gutters? - Consumption 9581
The car has a consumption of 6l / 100km. The entire tank contains 50 liters of gasoline. Build a graph of the function expressing the dependence of the amount of petrol in the tank on the kilometers traveled. - Calculate 8891
Calculate the weight of a PVC pipe with an inner diameter d = 45 mm and a length l = 3 m if the wall thickness of the pipe is s = 7.5 mm. The density of PVC is ρ = 1350 kg/m³. - Steel tube
The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg. - Three-quarters of its volume
The pool has a block shape with a length of 8m, a width of 5.3m, and a depth of 1.5m. How many hectoliters of water is in it if it is filled to three-quarters of its volume? - Concrete curb
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg? - Square 8420
How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter? - A sculptor
A sculptor is duplicating a statue based on an original statue. If the scale factor of the replication is 3.2, will the new statue be larger or smaller than the original statue (enter 1 = larger, 0= smaller) - Dimension 8307
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm? - Winch
The steel rope has a diameter of 6mm and a length of 20m. We are winding on a drum width of 60 mm, starting diameter of 50 mm. What is the final diameter after winding? - Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism/BG/is 5 cm. Calculate the surface of this prism in cm square and the volume in liters
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