Basic operations and concepts - math word problems - page 294 of 319
Number of problems found: 6371
- Four-sided 15613
The turret has the shape of a regular four-sided pyramid with a base edge 0.8 m long. The height of the turret is 1.2 m. How many square meters are needed to cover it, counting the extra 10% sheet metal waste? - Reduce of the volume
Calculate how many % reduce the volume of the cube is reduced the length of each edge by 10%. - Box
The cardboard is a box-shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm, one diagonal 8 cm long, and the box's height is 12 cm. The package will open at the top. How many cm² of cardboard do we need to cover overlap and joints that a - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Needed 5373
The box is shaped like a cube with an edge 52 cm long. How many m² of sheet metal is needed to make a box with a lid? Add 5% to the folds of the lid and walls. - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Dimensions - pool
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste.
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Perpendicular 82488
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) - Cylindrical 30331
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m if the joints and waste count for 6%. - Quadrilateral 22003
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold - Plan scale
The actual width of the room is 66 dm, and the width in the plan is 4.4 cm. What scale corresponds to the plan? - Census pyramid
Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"? - Gain
Find the gain whenever the output power is 18x the input power. - Ratio
The radii of the two cones are in the ratio of 5.7. Calculate the area ratio of cones that have the same height.
- Probability
How probable is a randomly selected three-digit number divisible by five or seven? - Rectangular 24321 The rectangular garden on the 1:1000 scale plan is 10 cm by 15 cm. What is the perimeter of the garden?
- Tropics and polar zones
What percentage of the Earth's surface lies in the tropical, temperate, and polar zones? Tropics border individual zones at 23°27' and polar circles at 66°33'. - Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectoliters of water. How many square meters of sheet metal are needed to make it? We calculate if 2% of the surfaces are for joints and waste. - Sheet metal troughs
A farmer orders sheet metal troughs from a tinsmith for loading calves on pasture. The tinsmith looks at a picture of the trough and estimates how much sheet metal he will need for one trough. Determine the sheet metal consumption, add 15% for waste and j
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