Square practice problems - page 97 of 151
Number of problems found: 3015
- Central park in city
A city park is rectangular, 180 m long and 120 m wide. People walk diagonally through the centre from one corner to the opposite corner. How many metres shorter is this path compared to walking along two sides of the perimeter? - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Right-angled triangle
Determine point C so that triangle ABC is right-angled and isosceles with hypotenuse AB, where A[4,-6], B[-2,10] - Closest point
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Line equation
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB. - Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Calculate cone - r,h
A rotation cone with a radius of 24 cm and a height of 36 cm is given. Calculate the surface area and volume. - Cube surface area
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm? - The mesh
How many m² of mesh are needed for fencing a rectangular cage without a base with dimensions of 25 m, 18 m, 2.5 m? - A cone 2
A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone. - Calculate radius
The surface of the sphere is 624 cm². Calculate its radius. - Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1? - Cube surface volume
The ABCDEFGH cube (sketch it) has an edge length of 5 cm. Calculate: a) ABFE wall area b) Area of the ADHE wall c) the surface of the cube d) Cube volume - Prism square base
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface - The cube
The cube has a surface of 600 cm². What is its volume? - The cylinder
The cylinder's surface area is 300 square meters, and its height is 12 meters. Calculate its volume. - Radius of sphere
The surface of the sphere is 1256 cm². Calculate the radius of the sphere. - Cube surface reduction
The surface of the cube is 96 cm². What will be the cube's surface that we get by reducing each edge by 1 cm?
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