Volume - math word problems - page 89 of 121
Number of problems found: 2418
- Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder?
- Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²?
- Overflows 5466
The pool is 15m wide and 40m long and should be filled with water to a height of 2.5m. The water flows at a rate of 400 hl per hour. How many hours will the pool be filled to the required height?
- Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism?
- Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
- Excavation
The excavation for the cottage's base measures 4.5 m x 3.24 m x 60 cm. The excavated soil will increase its volume by one-quarter. Calculate the volume of excavated soil.
- Alcohol mixture
Three liters of 96 percent alcohol set up a certain amount of distilled water to form 54 percent alcohol. How many liters of distilled water were used?
- Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm.
- Copper density
The copper roller weighs 547.4 g. To determine its volume, use the copper density, which is ρ = 8960 kg/m³.
- Aquarium 5315
The aquarium, with a length - of 40 cm, width - of 24 cm, and height of 27 cm, is filled to 2/3. How much water do we need to add to be filled to 8/9?
- Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres)
- Liter of gold
What weight does one dm³ of gold have? Gold density is 19,300 kg/m3
- Material 5296
What material is the casting that weighs 45.2 g and has a volume of 4 cm³? If it is a simple chemical element, write its chemical symbol.
- Cooling liquid
Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with two volumes of water). How many coolant volumes must be prepared for a total of 0.7 dm³ (liters) of the mixture?
- Percentage 5282
The car consumes 6.7 liters per 100km 2. The car consumes 108ml per 1500m. What percentage of more or less gasoline does the 1st car use than the 2nd car to cover the same distance?
- Filled 5265
The tank is filled to two-thirds of its volume. It will only be half full if we pump 100l of water from it. What is the volume of this tank?
- The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C?
- Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height)
- Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume.
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