Square practice problems - page 102 of 153
Number of problems found: 3052
- Jewel
In a competition for the most beautiful jewel, a jewel with the following description won: on a silver plate in the shape of a square, four identical ruby rhombuses are mounted. The rhombuses touch with their vertices at the midpoints of the sides of the - Diagonals in the diamond
The length of one diagonal in a diamond is 19 cm greater than the length of the second diagonal, and the diamond area is 32 m². Determine the sizes of the diagonals. - Z9 – I – 5 MO 2018
Peter and Ivan created decorations from mutually identical white circles. Peter used four circles, which he placed so that each touched two other circles. Between them he then inserted another circle, which touched all four white circles, and he coloured - Cylinder express radius
Please express r from the formula for the surface of the cylinder. - Cube surface area
The wall of the cube has an area of 97 cm². What is the surface of the cube? - Park tree
How many trees are planted in a trapezoidal park with bases of 35.7 m, 13.3 m, arms of 20 m and 22 m, and a height of 19 m if one tree needs nine m²? - What is
What is the circumference of an isosceles trapezoid with an area of 106.75 cm²? The lengths of the sides are in the ratio of 1:3:2:1, and the bases are 6.1 cm apart. - Ice cream cone
How many cm² of dough are needed to produce an ice cream cone if it is to hold 0.3 l of ice cream and its height is to be 15 cm. Add 8% for folds. 1. Convert litres into cm³ 2. Decide which data you can calculate first and from what formula. 3. Calculate - Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S1=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m. - Euclid line construction
Using Euclid's theorem, construct a line of length √15. - Square prism
A square prism has a base with a length of 23 centimeters. What is the area in square centimeters of the base of the prism? - RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m and |CD| = 200 dm, and leg |BC| = 10 m. Calculate the area and perimeter of the trapezoid and the length of diagonal AC. - Trapezoid complete
Calculate side b and the height of the trapezoid if a = 5.1 cm; c = 6.8 cm; d = 4.7 cm; circumference is 21 cm, and the area is 17.85 cm². - Trapezoid land price
The land on which the car service stands is shaped like a trapezoid with bases 98 m and 76 m long. The distance from the bases is 64 m. Calculate the price of the land; if 1 m² of land costs 14 €? - Trapezoid
How long are the trapezoid bases with an area of 24 cm² and a height of 3 cm? One base is three times longer than the shorter. - Trapezoid bases
In a trapezoid, the difference between the bases is 6 cm. Calculate the lengths of the bases of the trapezoid when its height is 8 cm and the area of the trapezoid is 168 cm². - Cube
Calculate the surface cube with edge 11 dm. - Trapezoid 15
The area of a trapezoid is 266. What is the value of x if the bases are b₁ = 2x − 3 and b₂ = 2x + 1, and the height is h = x + 4? - Overload
Calculate how many g's (gravity accelerations) the glider pilot when turning the horizontal circles of radius 139 m flying at 126 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotatio - Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc
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