Practice problems of the volume - page 29 of 118
Volume is the measure of the space that a body fills or occupies. The basic SI unit of volume is the cubic meter. It is the volume of a cube with an edge of one meter, i.e., 1 m x 1 m x 1 m. Significant another unit is 1 l (one liter), 1 m3 = 1000 l applies. One hectoliter (1 hl) is 100 liters.Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.
Number of problems found: 2354
- Oil crisis
A car runs 16 km using 1 liter of petrol. How much distance will it cover using 2 3/4 liters of petrol? - Benhur
Benhur boiled 1 1/4 liters of water in a kettle. After 10 1/2 minutes, he measured the water again. It had 3/4 liters left in the kettle. What is the amount of water that evaporates every minute? - Gas prices 2021
According to the SPP price list in 2021, the price of natural gas, together with its supply, is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes - Ideal gas law
Assuming compression is according to the law pV = constant. Calculate the initial volume of gas at a pressure of 2 bar, which will occupy a volume of 6 cubic meters when compressed to a pressure of 42 bar.
- The car
The car has a consumption of 5 liters per 100 km. It has 24 liters of gasoline in the tank. How much petrol remained in the tank when it rides for two and a half hours at a speed of 80 km/h? - Rachel
Rachel fills 9/10 of a bucket with water and 3/5 of another bucket of the same size. How much water does she have in total? - The base
The base of the quadrilateral prism is a trapezoid with an area of 75 cm square. The prism is 6 cm high. Find the volume of the prism. - Aluminum cylinder
The aluminum cylinder weighs 1400 g and is 26 cm high. Its density is 2700 kg/m³. Calculate the base area of the cylinder and express the result in cm². - Gasoline fuel
You just drove your car 300 miles and used 40 gallons of gas. You know that the gas tank on your car holds 12 1/2 gallons of gas; if the gas you buy is $2.50 per gallon. What would you pay to fill one-half of your tank?
- Markus painter
Markus used ¾ liter of paint to cover 10 ½ square meters of wall. How many liters of paint are needed to cover 12 ¼ square meters of the wall? - Dimension 54741
Column block shape dimension a = 25cm, b = 20cm, and volume 20dm³. Determine the height. - Weight fraction
To prepare the brine, we need 1500 g of an aqueous salt solution with a weight fraction of 0.08. What salt weight and water volume do we need to prepare it? - Gravitational 54411
How much force do we lift a stone in the water that weighs 30 kg and has a density of 2500 kg/m³? Gravitational acceleration g = 10 m/s². - Water tank
There is water in the block-shaped tank with dimensions of 3 m, 1.5 m 5 m. It occupies 70% of the tank volume. Find the volume of water in the tank (in hl).
- A diesel car
A diesel car costs $2599 more than an unleaded petrol car and travels an average of 25,000km per year. Diesel petrol has a consumption rate of 7.4L per 100km and costs $1.39 per liter. Unleaded gasoline has a consumption rate of 8.5L per 100km and costs $ - Millilitres
A 30-milliliter bottle of special fluid costs $50. How much does one milliliter of this fluid cost? - A burger
The water starts with 41 1/4 cups of water. How much water is left after ten 3 5/8 Scoops of water are removed? - Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, and 1.8 dm if an eighth of butter has dimensions of 8 cm, 5 cm, 3 cm? - Cost structure
You are currently trying to decide between two cost structures for your business: one with a greater proportion of short-term fixed costs and another more heavily weighted to variable costs. Estimated revenue and cost data for each alternative are as foll
Do you have homework that you need help solving? Ask a question, and we will try to solve it.