Physical quantities - math word problems - page 209 of 298
Number of problems found: 5956
- Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - Concrete ring
The concrete ring (used for reinforcement in wells) has an inner diameter of 800 mm and an outer diameter of 900 mm. It is made of concrete with a density of 2,500 kg/m³. Its height is 1 m. Calculate its mass. - The pool
The pool is 25 meters long, 10 meters wide, and 1.5 meters deep. How many liters are needed to fill it completely? How much will the new floor and wall paneling cost if one m² costs 10 euros? - Hall painting time
The hall has dimensions of 60 m, 28 m, and a height of 3 m. How many hours will it take to paint it if it takes 3 minutes to paint 1 square meter? The walls and ceiling are painted, and the windows take up 1/3 of the total area that needs to be painted. - Cube QR Codes Area
Peter built a cube in Ostrava, each wall with a unique QR code. The edge of the cube is 107 cm long. Calculate how large an area its author had to cover with white and black. - Pole painting calculation
The gardener used 18 poles with a base of 15.15 cm and a height of 150 centimeters to fence the plot. Calculate how much paint he will need to paint the columns twice. One kilogram of paint covers eight square meters. - Painter
If one liter of paint covers an area of 5 m2, how much paint is needed to cover: a) rectangular swimming pool With dimensions of 4 m x 3 m x 2.5 m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir wi - Cabinet painting
The cabinet has the shape of a cuboid, the dimensions of which are 80 cm and 55 cm, and a height of 1.8 m. The cabinet is painted twice on the outside. How much paint is used to paint the cabinet if 1 kg is enough for 4 m²? (we do not paint the bottom of - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm? - 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/cm³ - Cake dough
The kneaded cake dough has a volume of 1.8 l. When baking, it increases in volume by about two-thirds. Can it fit on a baking sheet measuring 36 × 30 × 8 cm? How tall will the cake be after baking? - Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration! - Billboards
An advertising panel has the shape of a cylinder. The circumference of the base is 10 m, the height of the cylinder is 4 m. a) How many CZK per year will we pay to rent the lateral surface of the cylinder, if 1 m² of advertising space costs 1,500 CZK per - Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy? - Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 231 cm². - Pillar - bricks
A brick pillar has the shape of a four-sided prism with an isosceles trapezoid base with parallel sides a = 55 cm and c = 33 cm, leg b = 33 cm, and trapezoid height vₐ = 32.1 cm. The pillar is 1.9 m high. How many bricks were used to build it if one brick - Grandparents
Grandfather set aside €1,200 for savings. At the beginning of each month, he deposited €100 into the bank at an annual interest rate of 3%. At the end of the year, he had €1,219.68 in the bank. Grandma immediately deposited the entire amount of €1,200 int - Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 decimal places. - Steering wheel torque
What force does the driver exert when turning on the steering wheel if the steering wheel diameter is 35 cm and the torque is 3.5 N. M? - Flywheel
The flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point, which is 10 cm from the rotation axis.
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