Physical quantity - math word problems - page 319 of 346
Number of problems found: 6914
- Tin sheet
How much sheet metal is needed for a triangular prism-shaped box with an edge of 20 cm and a height of 30 cm, the height of the base is 15 cm. An additional 10% of sheet metal is needed for gluing. - Storm and roof
The roof of the building is a cone with a height of 3 meters and a radius equal to half the height of the roof. How many m² of the roof need to be repaired if 20% were damaged in a storm? - Prism pyramid ratio
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D) - Surface area 2
Calculate how many % reduce the surface area of the cube is reduced the length of each edge by 10%. - Christmas trees
The salesman sold Christmas trees: spruce for € 22, pine for € 25, and fir for € 33. In the morning, he had the same number of spruce, fir, and pine. In the evening, he had all the trees sold for € 3,600. How many trees does the day salesman sell? - Wiring
The conduit has a cross-section 54² mm. Maybe put it into 6 conductors with a cross section S2 $mm²? - Asphalt barrel density
The barrel filled with asphalt has a diameter of 60 cm and a height of 100 cm. The weight of the asphalt in it is 390 kg. Determine the density of the asphalt. - Wood material
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of: a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Water level
To cuboid-shaped poll, bottom size 2m and 3.5m, flows water at a rate of 50 liters per minute. How long will it take for water to reach a level of 50 cm? - Roman 2
Roman thermae around the year 200 were baths equipped with underground central heating. The largest of them had a rectangular swimming pool with cold water, the bottom dimensions were 17m and 51m, the water reaches a height of 150 cm. Calculate according - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Average speed
The car drove from city A to city B at 40 km/h and back to city A at a speed of 80 km/h. What was the average speed of the car? - Two cuboids
The cuboid has dimensions of 2m 3m 4m We increase the length of all edges by 50 cm. 1. Calculate in % how much the surface area of the cuboid increases compared to the surface area of the original cuboid - round the result to whole percent 2. Calculat - Tower roof
The tower's roof is a regular 4-sided pyramid with a height of 4m and an edge of the base of 6m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof? - Pyramid cutting calculation
The regular quadrilateral pyramid has a height of 40 cm and a base side of 21 cm. Cut the needle at half the height. How much will both parts have? - Martians
A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. To avoid attracting attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal? - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - The glass
1 m³ of glass weighs 2600 kg. Calculate the weight of the glass glazing panel with dimensions of 2.5 m and 3.8 m if the thickness of the glass is 0.8 cm. - Stone
When Peter threw a stone in a water box, he discovered that the water level had risen by 9 cm. The box has a cuboid shape, the bottom has dimensions of 24 cm and 14 cm, height is 48 cm. What volume has a stone? - Painter area days
Eight painters painted an area of 15200 m² in 5 days. How many painters will paint a room of 13680 m² in 3 days?
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