Grade - math word problems - page 899 of 949
Number of problems found: 18978
- Tower
The top of the tower is a regular hexagonal pyramid with a base edge 5.7 meters long and a height 7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 4% of metal for waste. - House roof
The house's roof is a regular quadrangular pyramid with a base edge 20 m. If the roof pitch is 38° and we calculate 12% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof? - Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32. - Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone. - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees. - Sector
The perimeter of a circular sector with an angle 0.7 rad is 53 cm. Determine the radius of the circle from which the sector comes. - G forces
Calculate car deceleration (as a multiple of gravitational acceleration g = 9.81 m/s²) when a vehicle in a frontal collision slows down uniformly from a speed 61 km/h to 0 km/h in a 1.1 meters trajectory. - Flowerbed
On the flowerbed were planted 310 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed? - Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base. - Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism. - Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s) - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm. - The store
The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 298 cans of corn, leaving 7 times more peas than corn cans. How many cans of each kind were in the store? - Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also - Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the - Blueberries
Marie earns 2.2 liters of blueberries for 1 hours, and Peter 2.5 liters for 1.5 hours. How long do they pick one liter together? - Arc
The length of the circle is 13, and the arc length of the circle is 5. What is the magnitude of the angle of this arc? - Two runners
Two runners ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes? - Equation
Equation -3x²+bx -108 =0 has one root x1 = 1. Determine the coefficient b and the second root x2. - Machines
There are three machines in the workshop. The first treats 280 parts for 3.7 hours, the second treats 460 parts for 2.7 hours, and the third treats 550 parts for 3.6 hours. How long will it take to make 2440 parts if all three machines are worked simultan
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