Volume - math word problems - page 99 of 126
Number of problems found: 2516
- Vehicle tank
A vehicle tank was 3/5 full of petrol. When 21 liters of fuel was added, it was 5/6 full. How many liters of petrol can the tank hold? - Ditch excavation
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Cylinders needed
How to calculate how many cylinders up to 1m³ are needed? Dimensions 9.5 cm x 30 cm. - Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm². - Body diagonal The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
- Tank filling
A worker would fill the tank with one inlet in 36 minutes, the other in 45 minutes. How long will it take to fill the tank if the water flows through the first inlet for 9 minutes and then both simultaneously? - Wine cost
Five liters of white wine and six liters of red wine cost 432 CZK. One liter of red wine is CZK 6, which is more expensive than one liter of white wine. Thus, we pay CZK 6 for one liter of white wine and CZK 6 for one liter of red wine. - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol did the pharmacy get? - Water temperature
Mom is going to wash by hand in water that should be at 40°C. The tub already has 10 liters of water at a temperature of 12.3°C and can still hold 5 liters. What temperature should the water be allowed to be? - Rotating square
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - Alcohol mixing How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made?
- Volume of an apple
How many apples will fit in a box measuring 20 cm × 50 cm × 25 cm? - Volume mixing What will be the resulting volume V, if we mix liquids with volumes of 3hl and 200 cubic dm A) V = 0.32 cubic meters B) V = 0.50 m cubic C) V = 23hl D) V = 5m cubic
- The pipe
The pipe is 1.5 m long. Its outer diameter is 60 cm, inner diameter is 52 cm. Calculate the pipe's weight if the material's density from which it is made is 2 g/cm³. Please round the results to whole kilograms. - Relationship - radius
Calculate the volume of the cylinder if the radius of the base is 3 cm, and the relationship between the radius of the base and the height of the cylinder is v = 3r - The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight. - Cylinder hole A cylinder-shaped hole with a diameter of 12 cm is drilled into a block of height 50 cm with a square base with an edge length of 20 cm. The axis of this opening passes through the center of the base of the cuboid. Calculate the volume and surface area of
- Ice and water
We want to cover a rectangular rink with dimensions of 55 m and 25 m with a 4cm thick layer of ice. How many liters of water do we need if freezing water increases its volume by 10%? - Fuel economy
How many kilometers is sufficient petrol in the cylinder fuel tank with a diameter of 40 cm and the base of tank length of 1 m when it is filled to 60%, and if the car consumes 15 liters per 100 km? - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result
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