Volume - practice for 12 year olds - last page
Number of problems found: 956
- Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - 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? - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge?
- Cube
The cube weighs 11 kg. How weight is a cube of the same material if its dimensions are 3-times smaller? - Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out? - Sea on the Moon
Assume that the Moon has a sea with the same composition as Earth's (it has the same density of saltwater). Calculate the boat's dive floating in the sea on the Moon when on Earth has dive 3.9 m. Consider that the Moon has 6.5-times smaller gravitational - Rotating cone
Calculate the volume of a rotating cone with base radius r=$r cm and height h=$v cm. - Truncated cone
Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm, and height v = 8 cm.
- Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg? - Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height equals the base's diameter. - Car range
Kia has an average diesel consumption of 5 liters per 100 kilometers. What is the range of the car for 135 euros if fuel costs 1.4 EUR/liter, if the tank has a volume of 51 liters? - Fuel consumption
Mazda car has an average nafty consumption of 4.2 liters per 100 kilometers. What is the car range for a full tank of volume 73 liters? - Air mass
What is the weight of the air in a classroom with dimensions 10 m × 10 m × 2.7 m? The air density is 1.293 kg/m³.
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