Square practice problems - page 130 of 150
Number of problems found: 2990
- Village railway distance
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a. - Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal? - Garden flower calculation
In a square garden with a side length of 12 m, there are two circular flower beds with a diameter of 4 m, and the rest is grass. Determine the area that is overgrown with grass. What percentage of the garden is occupied by flower beds? - Quadrilateral prism + water
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - Carnival hat paper
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head perimeter is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle. - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm². - Rectangle dimensions
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle. - Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join - Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal of 8 m. What is the length of the shorter diagonal? - Area of triangle
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangl - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross? - Prism Box Force Weight
We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box? - Divide an isosceles triangle
How can an isosceles triangle be divided into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)? - Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6 - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; v1 = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; v2 = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2) - Ditch excavation
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Find the surfaces of both bodies.
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