Volume - math word problems - page 49 of 128
Number of problems found: 2549
- Buoyancy force
Find the magnitude of the buoyancy force acting on a body with a volume of 1 dm³ whole immersed: a) in water b) in ethanol. - Iron cube
Calculate the weight of a cube with an edge length of 15 cm made of iron, (its density is ρ = 7250 kg/m3) - Prism height
What is the height of a prism with a right triangle base and sides of 6 cm and 9 cm? The hypotenuse is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface area. - Tank water comparison
We have two cube-shaped tanks. The first has an edge of 12 dm long, and the second has an edge of 20% longer. By what % more or less water is there in the second tank if the first is three-quarters full and the second three-eighths full? - Buoyancy force
An adult male has a volume of about 0.070 m³. How much buoyancy affects him when he is completely immersed in water? - The bath
Dad poured 50 liters of water at 60 °C into the tub. How much cold water must he add at 10 °C to obtain a bath that has a temperature of 40 °C? - Vinegar mixture percentage
What percentage of vinegar do we get by mixing 2 liters of 8% vinegar with 3 liters of 4% vinegar? - Hydrogen peroxide dilution
How much distilled water does a laboratory assistant have to add to 500 ml of 30 percent hydrogen peroxide to prepare a 3% gargle? - Water temperature mixing The mother prepared half a liter of cold water for the children to drink. It mixed water at 20 °C with 400 ml of cold water at 5 °C. What was the temperature of the prepared drink?
- Water temperature mixing John filled 2 liters of hot water at a temperature of 90 °C from a heater into a five-liter container. What temperature must the water that the container fills have a mixture temperature of 42 °C?
- Compressed gas
The pressure vessel contains a compressed gas at a temperature t1 = 27 °C and a pressure p1 = 4 MPa. How much does its pressure change when we release half the amount of gas, and its temperature drops to t2 = 15 °C? - Cat litter
Dominik teaches his kitten to go to the cat toilet for litter. He needs to fill the toilet halfway, but he needs to know how many bales of litter to buy. Please advise him if you know that the toilet has a bottom measuring 0.43 m and 3.5 dm and is 11 cm d - Sand loading
The truck, with a load capacity of 7 tons, has a storage area of 4.5 m and 2.1 m. The weight of 1 m³ of wet sand is 2,000 kg. How high can we load the sand, so the car's load capacity is not exceeded? - Forest wood growth
The amount of wood in a specific forest area is estimated at 2,106 m3, and the annual wood growth is 2.1%. What will be the situation after 20 years? - Hard cone problem
The cone's surface is 200 cm², and its height is 7 centimeters. Calculate the volume of this cone. - Calculate 4S pyramid
Calculate the surface area and volume of a regular 4-sided pyramid with a base edge of a = 12 cm and a height of v = 5 cm. - Calculate pyramid
Calculate the volume of the pyramid, whose base edge a = 8 cm and the sidewall makes an angle α = 60° with the square base. - Special body
Above each wall of a cube with an edge a = 30 cm, we construct a regular quadrilateral pyramid with a height of 15 cm. Find the volume of the resulting body. - The cone - S,V Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
- Cone volume surface
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone.
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