Equation + volume - practice problems - page 8 of 13
Number of problems found: 242
- Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid. - Gasoline tank 2
A gasoline tank is 1/6 full. When the family added 25 liters of gasoline, it became 3/4 full. How many are liters more needed to fill them? Show your solution. - 40% volume
40% volume with 104 uph (units per labor hour) 8 people are working. What is the volume? - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
- Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig. - Tank 11
When 150 liters have been drawn from a tank, it is 3/8 full. How many liters will the tank hold? - Dimensions 6496
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle. - Solutions, mixtures
How many liters of 70% solution must we add to 5 liters of 30% solution to give us a 60% solution? - Cylinder 6379
The cylinder has a base diameter of 0.8 m. The area of the base is equal to the area of the casing. How much water can be poured into the cylinder?
- Temperature 6378
How many liters of 48 °C warm water do we need to add to 1.2 hl of 8 °C warm water to form a mixture with a temperature of 24 °C? - Temperature 6373
How many liters of hot water at 80 °C do we have to mix with water at 10 °C to get 10 liters of warm water at 45 °C? - ABCDA'B'C'D 6261
The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism. - Calculate 6207
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network. - A residential
A residential colony has a population of 5400, and 60 liters of water is required per person per day. The effective utilization of rainwater constructed a water reservoir measuring 48m × 27m × 25m to collect the rainwater. For how many days the water in t
- Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Fruit juice
Fruit juice contains 37.5% sugar. How much percent of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg) - Kilograms 5998
What is the weight of an empty water tank, and how many kilograms of water is in it? If the total weight a) 192 kg, would it drop to 132 kg after a third of the water weight is drained? b) 107 kg would increase to 132 kg after adding a quarter of the curr - Mixture 2
How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution? - In and out
The empty tank is filled in 12 minutes and empty in 16 minutes. How long does it take to fill if we forget to close the drain? The tank has 1000 liters of volume.
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