Square practice problems - page 106 of 153
Number of problems found: 3052
- The area
The area of a rhombus is 143 m². If the longer diagonal is 26 m, find the shorter diagonal in inches named d1. - V-belt
Calculate the length of a belt running on two pulleys with diameters of 172 mm and 343 mm, with a centre-to-centre distance of 300 mm. - A rectangle 2
A rectangle has a diagonal length of 74 cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Rectangle measurements
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters. - TV width
The electronics store offers a TV with a diagonal screen of 33 inches; the screen's height (without borders) is 44 cm. How wide is the TV if the edge on each side of the screen is 1.1 cm? - Felix
Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl - Tangents
From point R, two tangents are drawn to a circle with a radius of 41 cm. The distance between the two points of tangency is 16 cm. Calculate the distance from point R to the centre of the circle. - Perimeter of needle
The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1 m² costs €1.5, a 12% loss due to joints and folds is included in the area. - Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - Box cardboard material
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin - Isosceles trapezoid 3
In isosceles trapezoid ABCD, calculate the unknown side length "a" and its area. Sides b = d = 50 cm, c = 20 cm, and the height = 48 cm. - Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter? - Big Earth
What percentage of the Earth's surface is seen by an astronaut from a height of h = 350 km? Take the Earth as a sphere with a radius R = 6370 km. - Four-sided turret
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? - Ice cream maker
Ice cream maker Eda has invented a new cone in the shape of a regular four-sided pyramid, in which he will sell his ice cream. The cone will have a lateral edge length of 5 cm and a slant height of 4 cm. In order to mass-produce it in a factory, the dimen - Cube diagonals
A cube has an edge length of 5 cm. Draw its different diagonals. - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters. - A square
A square with a length of diagonals 12 cm gives: a) Calculate the area of a square b) The rhombus, with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.
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