Volume + reason - practice problems - page 2 of 4
Number of problems found: 74
- Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Vegetables 26181
There were 50 liters of water in two barrels. Katka took several liters of water from the first and watered the vegetables in the garden. From the second, Kamil took as much water as was left in the first barrel and watered the flowers in the garden. How - Right-angled 25091
A thin plate in the shape of a right-angled triangle is turned once around the shorter hanger and a second time around the longer hanger. Cones are described by rotation. Are they the same volume? The dimensions are: shorter pendant 6cm, longer pendant 8c - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - Cardboard box
Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - Concentrate 18043
Fruit juice concentrate is sold in two-liter bottles. It is diluted with water in a ratio of 1:9. a) determine how to prepare 5 liters of fruit drink from concentrate and water. b) How many liters of fruit drink can be prepared from a full bottle of fruit - Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma - Milk
There were 22 liters of milk in three containers. There were 6 liters more in the first container than in the second. After pouring 5 liters from the first container into the third container, the same quantity of milk is in the second and third containers - Increased 12821
Compared to last year, the milk price doubled in May this year and fell to half the increased price in October. Now a liter of milk costs 50 cents. How many euros did 100 liters of milk last year? - Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³? - Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem. How much did each of them earn? - Three glasses
Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the content from the - Cone-shaped 8170
How many cone-shaped cones will we have to take to fill 20 l of creams (to the brim) if the cone has an inner base diameter of 6 cm and a height of 8 cm. Make a drawing, and write the answer. - 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? - Bequeathed 7803
The father bequeathed to his two sons 4 gold plates in the shape of a square, which were 1 mm thick. The side lengths of these plates were 5 cm, 10 cm, 10 cm, and 15 cm. The sons were to receive the same amount of gold. How many gold plates did each son r - Mathematics 7775
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously? - Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid? - No smoke
Tobacco company NO-SMOKE adorned its stand at the cigarette-type trade fair with cigarette-shaped. The dimensions of which were 20 times the size of a regular cigarette. Regular cigarette contains 0.8 mg of nicotine. How much nicotine would a giant cigare
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