Ratio + volume - practice problems - page 2 of 9
Number of problems found: 167
- Quadrilateral 81385
A regular quadrilateral pyramid with base edge length a = 15cm and height v = 21cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - Determine 81311
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Solution mixtures
We have 1 liter of 80% solution. Every hour, pour 1 dl of the solution, add 1 dl of water (a 0% solution), and mix. What percent solution will we have after two mixings? - Circumscribed 81025
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere.
- Average 80654
On average, 100 liters of milk make 16 liters of cream, and 100 liters of cream make 20 liters of butter. How many liters of milk do we need for 100 liters of butter? - Ice cream
Two and a half liters of ice cream are divided (unequally) into two parts that are in the ratio of 1:7. How much is each part? - Dimensions 79294
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - Blueberries 79284
Lenka, Jane, and Michael collected blueberries in the ratio of 3:4:2. Lenka collected 4.5 liters of blueberries. How many blueberries did Jane and Michael collect? - Car uses
The car uses 91 liters of petrol to travel 700km. Determine the rate in liter per 100km.
- A car 6
A car holds 15 liters of fuel. The car consumes 3 liters of fuel each 100 km. We started a trip of 350 km with a full tank of fuel. How much fuel remains in the tank at the end of the trip? - Car fuel
Tanya drove 3 1/2 hours and used 1/3 tank of gas. For how long could Tanya drive using a 1/2 tank of gas? Enter your answer as a mixed number in the simplest form in the box. - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Recommended 72614
There is information on the syrup bottle that it is recommended to dilute it in a ratio of 1: 6. How much lemonade would we make if we bought a bottle of syrup with a volume of 0.5 l? - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution?
- Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Midnight 67644
The bacteria in the test tube divide into two every second, with each new one having the same volume as the original. At exactly midnight, the test tube was full. At what time was the test tube half full? - Manufacturer 67024
The car manufacturer states that the car consumes an average of 6.8 liters of gasoline per 100 km. How many liters of petrol does it use for a 348 km journey? - Right-angled 66364
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Enlarge 66284
We will enlarge the line 8 cm long in the ratio of 7:4. How long in cm will the new line be?
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