Volume + length - practice problems - page 21 of 23
Number of problems found: 452
- Concrete tank
How many m³ of concrete is in the tank shape of a cuboid with dimensions of 2000 cm and 5.6 meters, and 70 dm if the concrete takes up 3/7 of the tank? - Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³? - Cube basics
How long is the edge length of a cube with volume 15 m³? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³.
- Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid, its height is $b cm, and the length of the edges of the base is 6 cm. - Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm. - Bottles of juice
How many 2-liter bottles of juice need to buy if you want to transfer the juice to 50 pitchers' rotary cone shape with a diameter of 24 cm and a base side length of 1.5 dm? - Weight of air
What is the weight of air in the living room measuring width 8 m, length 5 m, and height 3.1 m? Air density is ρ = 1.2959 kg/m³. - Comsumption
On route 150 km long car consumed 11 liters of gasoline. How much gasoline is consumed for driving 300 km?
- Cuprum
From the 1600 mm long sheet of copper plate 2 mm thickness, we have separated over the whole length of the belt weighing 6000 g. Calculate belt width if one dm³ copper weighs 8.9 kg. - Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Car consumption
The car has consumption 7.3 l/100 km. How much money will it cost to ride 330 km in long if the diesel price is 1.63 USD/l? - Workers
Workers are digging a jump pit in the schoolyard. The pit has a cuboid shape with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit? - Pit
The pit has the shape of a truncated pyramid with a rectangular base and is 0.8 m deep. The pit's length and width are the top 3 × 1.5 m bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.6 l of green color. How many liters of paint are ne
- Aircraft
The aircraft has a fuel tank 68 hl of aviation fuel, and flight consumes 3.6 liters of fuel. Identify the function that expresses the dependence of the fuel volume in the tank on the track distance plane flew by. How many hectoliters of fuel is still in t - Tetrapack
How high should be the milk box in the shape of a prism with base dimensions 8 cm and 8.8 cm if its volume is 1 liter? - MPG
$m miles a week fills up twice a week. Each fill is $g gallons. What is the gas mileage of the car? - Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off? - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
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