# Density + volume - math problems

#### Number of problems found: 130

• Markus painter Markus used ¾ liter of paint to cover 10 ½ square meters of wall. How many liters of paint is needed to cover 12 ¼ square meters of wall?
• An aquarium An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is completely filled with water. The density of water is 1,000 kg/m3. What is the mass of the water in the tank?
• Dynamometer What is the volume of a body that stretches a dynamometer in air, on which it is suspended by a force of 2.5 N, and if it is immersed in alcohol with a density of 800 kg/m ^ 3, does it tension the dynamometer with a force of 1.3 N?
• Above water surface If we remove the stone from the water, we apply a force of 120N. How much force will we have to exert if we move the stone above the water surface? The density of the stone is 5000 kg/m ^ 3.
• There There is 5 l of water with a temperature of 20°C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30°C. What was the temperature of the hot water?
• School model The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3
• Heat transfer We placed a lead object weighing 0.4 kg and 250°C in 0.4 L water. What was the initial temperature of water t2 if the object's temperature and the water after reaching equilibrium was 35°C? We assume that the heat exchange occurred only between the lead o
• A semi-circular A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total weigh of water to the nearest pound in the tank, if water weighs 62.5 pounds per cubic foot?
• The square The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
• The granite ball What is the weight of a granite ball with a radius of 60 cm, if 1 m3 of granite weighs 2.7 tons?
• Brass ball What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g
• There There is 67 m3 of oil in the tank. What is his weight? The density of the oil is 910 kg/m3.
• Pyramid of Giza The Great Pyramid of Giza has the shape of a regular quadrangular pyramid. The base edge is 227 m long and 140 m high. What is the weight of the stone needed to build this pyramid, if the weight of 1 m3 of stone is 2.5 t?
• Copper wire What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm, if the density of copper is 8.8 kg? 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 that the load capacity of the car is not exceeded?
• Sand How much m ^ 3 of sand can be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m3 .
• Bricks How many bricks are needed for a wall 14.5 m long, 2 m high, and 45 cm thick, if 285 bricks are needed for one m3 wall?
• Concrete column The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. It should be lifted by crane to a height of 20m. What is the power of his engine if the lifting takes 2 minutes?
• Wooden bowls 20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm2. How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d
• Ice floe What is the volume of an ice floe weighing 326 kg? The density of ice is only 920 kg/m3.

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