Practice problems of the volume - page 95 of 118
Volume is the measure of the space that a body fills or occupies. The basic SI unit of volume is the cubic meter. It is the volume of a cube with an edge of one meter, i.e., 1 m x 1 m x 1 m. Significant another unit is 1 l (one liter), 1 m3 = 1000 l applies. One hectoliter (1 hl) is 100 liters.Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.
Number of problems found: 2345
- Fe vs. H2O
The volume of what the body of the same weight is greater: iron or water? - Percentages
Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm² of 12.5 dm² c / 2dm² of 400 cm² D / 0.2 liters from 2.2 liters - Horizontal Cylindrical Segment
How much fuel is in the horizontal cylindrical segment tank with a length of 10m, a width of level 1 meter, and a level is 0.2 meters below the tank's upper side? - Canister
Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, and 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg, and the weight of an empty canister is 1.5 kg? - Surface and volume od cuboid
The area of the square base of the cuboid is Sp = 36 cm², and its height is 80 mm. Determine its surface area and volume. - Cylinder:
Cylinder: calculate the height of a 3-liter cylindrical pot with a diameter of 10 cm. - Pool
The pool has the shape of a cylinder with a diameter of 4.6 m, and the presumed height is 130cm. The bucket fits 12l of water. How many buckets do you have to bring to fill this pool? - Hectoliter into cube
Can 1hl of water fit into a half-meter cube? - Percentage 3566
Calculate to two decimal places. What percentage is: a / 15min from 4 h b / 35 cm² of 12.5 dm² c / 2 dm² of 400 cm² d / 0.2 l of 2.2 l - Milk mixing
You have 12 liters of milk with a temperature of 20°C. How much milk at 80°C do you have to add to have milk at 30°C? - Percentage 3501
We first poured 0.25 water from the full container, then 0.2 of the remaining water. What percentage of the container remained full? - Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume. - Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Percentage 3481
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Cuboid - edges
The cuboid has dimensions in a ratio of 4:3:5. The shortest edge is 12 cm long. Find: The lengths of the remaining edges The surface of the cuboid The volume of the cuboid - Cone
Calculate the volume of the rotating cone with a base radius of 26.3 cm and a side 38.4 cm long. - The factory
The factory ordered 500 hexagonal steel bars of square sections with 25 mm sides. How many cars with a load capacity of 3 tonnes will be needed for bar move if the steel density is 7,850 kg.m-3? - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Cylinder-shaped 3455
82 hl of water/hour flows into the empty cylinder-shaped pool with a diameter of 5 m. To what height will the pool be filled if water flows for 4 hours? - Average 3447
The width of the well with the masonry should be 1.8 m. How much will digging a well 16 m deep be paid if an average of 800 CZK is paid from meter cubic?
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