Square (second power, quadratic) - math word problems - page 21 of 151
Number of problems found: 3005
- Block volume ratio
The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Square side increase
We increased the side of the square by 12% from the original 15cm. For a, what was the perimeter and area of the new square? By what percent did the perimeter and area increase? - Prism volume surface
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Observatory's dome
In our city, they decided to reconstruct the observatory's dome and cover it with sheet metal. At least how many square meters of sheet metal will they need if the dome is in the shape of a hemisphere with a diameter of 6m? - Flywheel energy decrease
How much energy was supplied by the flywheel of the device if its number of revolutions decreased from 1200 to 720 revolutions per minute if it has a moment of inertia of 71.3 kg/m²? - Ladder building height
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall? - Isosceles trapezoid
In an isosceles trapezoid, the basic lengths are 15 cm and 9 cm. The diagonals are 13 cm long. Calculate the perimeter and area of the trapezoid. - Castle painting cans
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought? - Tablecloth table size
A square tablecloth measures 80 cm so that it protrudes 33 cm on the sides; calculate how big it is. - Cottage bridge distance
Two neighboring cottagers have cottages under the forest by the stream. They decided to build a bridge over the stream at a place far from the two huts. The distance between the cottages is 230 m; one cottage is 120 m from the stream, and the other is 85 - Roland plot perimeter
Roland rode his bike around the perimeter of the square plot and traveled 5km. What is the length of the side of a square pitch? - Circle triangle hole
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32mm, and the side of the triangle, a=20.8mm. - Diameter of a drum
Winding drum length 180mm, initial diameter 60mm. Using a 6mm rope with a length of 50m, what will be the diameter of the wound drum with the rope? - Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Triangle angle area
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a. - Water pressure bottom
The hydrostatic pressure at the bottom of a cylindrical water container is 10 kPa. The bottom has an area of 0.25m². How much pressure does the water exert on the bottom? - Rectangle side area
Calculate the size of the other side of the rectangle if the size of one of its sides is 90m and the area is 3600 m². - Column water force
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th - Line coefficient determination
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Remote control wood
Calculate how many dm² of wood the craftsman needs to make a block-shaped wooden remote control stand with dimensions of 3.2 dm, 2.4 dm, and a height of 0.6 dm.
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