Percentages + volume - practice problems - page 10 of 11
Number of problems found: 203
- Balls
Ping pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls. - Tanks
The fire tank has a cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used if the water level in the tank fell 5 cm? Wri - Pharmacy
At the pharmacy are in one container 20% solution in the second 50% solution of disinfectant. They need to prepare 4 L of the 48-percent solution. What amount of solution from each container is needed to mix? - Fertilizer
Mr. Gherkin uses for fertilization 10% solution of fertilizer. 5 liters of it still left. How much water must be added to the solution to make only the 7% solution?
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Sea water
Seawater contains about 5% salt. How many dm³ of distilled water must we pour into 39 dm³ of seawater to get water with 1.6% salt? - Lathe
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed? - Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 47 %? - Alcohol
How much 56% alcohol do we need to pour into 22 liters 78% alcohol to get p3% alcohol? How much 76% alcohol do we get?
- Sea water
Mixing 62 kg of seawater with 84 kg rainwater is created water containing 3.1% salt. How much percent of seawater contains salt? - Vinegar 2
How many percentages of vinegar solution will we get if we mix 3.5 liters of 5.8% and 5 liters of 7.6% vinegar? - Spherical cap
From the sphere with a radius of 11 was a truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere? - Peroxide
How much-distilled water (in liters) must pharmacists pour into 300 ml of 23.6% solution of hydrogen peroxide to get 2.7% solution to gargle? - Vinegar
We must dilute 16 liters of 8.8% aqueous vinegar to 4.1% one. How much water is necessary to add?
- Hole
They fill the shape hole with dimensions 2.9 m, 17 m, 15.2 m with 97 m³ of soil. How much percent does it fill up? - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - Wood in the forest
The amount of wood in the forest was estimated at 6000 m³. How much wood will be in the forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m³ each year? - Barrel of oil
The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel? - Sphere fall
How much percent fall volume of a sphere if diameter decreases 3×?
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