Volume + subtraction - practice problems - page 5 of 6
Number of problems found: 111
- Quadrilateral 23891
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Originally 22951
The tank originally had 7 m³ of gasoline. We gradually pumped out 3hl, 3000dm3, and 700 liters of gasoline. How many liters of petrol is left in the tank? - Increased 20383
We threw a prism with the base of a right triangle with squares 15 × 10 cm and a prism height of 1.5 dm into a 10 l bucket. How much has the volume in the bucket increased? - Dimensions 16573
They drained the water from the full tank through three holes. 1/6 of the tank volume flowed through the first hole, 2/5 of the volume through the second hole, and 1/4 of the volume through the third hole. The tank has the shape of a cuboid with dimension
- Container 15093
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet - Quadrilateral 14211
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - A/Calculate 13571
The concrete flower pot has the shape of a cube with an edge of 45 cm, and the thickness of the walls and bottom is 4 cm. A/Calculate the clay volume in the flowerpot if it reaches 3cm below the rim. B/Calculate the weight of the flowerpot if the concrete - Dimension 8307
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm? - Sphere floating
Will a hollow iron ball float with an outer diameter d1 = 20cm and an inside diameter d2 = 19cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. )
- Without 8260
The ice cream sundae glass has a cone shape. Its height without legs is 9 cm, and its radius is 5 cm. Šimon bought eight scoops of ice cream, which all melted in the sun. One scoop of ice cream has a volume of 32 cm³. How many cm³ of melted ice cream will - A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that - Lemonade
In January, 2 liters of lemonade were sold for CZK 24, while in February, 2.5 liters of lemonade were sold at the same price. How much percent was 1 liter of lemonade cheaper in February than in January? - 10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - Containing 6313
The company installed a drinking water tank containing 15 hl of water in the housing estate when the water supply system broke down. The company used 650 liters of water in the morning and 800 liters in the afternoon. How many liters of water was left in
- Toilets
Federal law requires that all residential toilets sold in the United States use no more than 1 3/5 gallons of water per flush. Before this legislation, conventional toilets used 3 2/5 gallons of water per flush. Find the amount of water saved in one year - The coil
How many ropes (the diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm. - Three-fifths 5801
Anka bought one whole 5 liters of mineral water for trip one and drank three-fifths of it. How many liters of mineral water are left? - Five-eighths 5694
The car's tank was two-twelfths full. When Dad filled the tank with gas, the volume of gas increased by five-eighths of the tank's volume. What fraction of gasoline did the car use when the tank is now 1/3 full? - Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²?
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