Geometry - math word problems - page 127 of 165
Number of problems found: 3289
- Ruler and compass
Use a ruler and compass to construct a triangle ABC with AB 5 cm BAC 60° and ACB 45°. - Trapezoid construction
Construct an isosceles trapezoid, whose base is 6 cm long, the base forms an angle of 30 ° with the diagonal, and the arms are 4 cm long. - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball? - Surface of wall
Find by what percentage the cube's surface will decrease if we reduce the surface of each of its walls by 12%. - The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABC in square coordinate units? - Percentage - prism and cube
Prism with square base a=25 cm, height h=45 cm. cube: b=15 cm a) what percentage of the volume of the prism is the volume of the cube? b) what height should the prism have to have the same volume as the cube? - Block dimension ratio
A cuboid has dimensions in the ratio 9:5:4. Determine its volume, given that the sum of the longest and shortest edges is 65 cm. - Triangle construction progress
An isosceles triangle ABY has a base AB of length 5 cm and an angle at the primary vertex of 50°. Write down the construction progress. - Hypotenuse - construct problem
A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°. - Triangle construction
Construct triangle KLM if side m=6.5 cm, median to the side m tm=4 cm, height to side m: vm=3.2 cm - Construct
Construct a rhombus ABCD with side a = 7 cm, b = 5 cm, whose diagonal e is perpendicular to side b. - Square diagonal construction
There are three different points, C, E, and F, in the plane. Please draw the square ABCD when E and F lie on the diagonals of this square. How many solutions does the task have? - Rectangle construction
Build a rectangle of MNPO if: a) (MN) = 8 cm, (MP) = 10 cm b) (PQ) = 6 cm and angle PQM = 30 ° c) (NP) = 9 cm, (PM) 8 cm - Cube volume decrease
By what percent does a cube's volume decrease if its edge length is reduced by a quarter? - Cuboid Dimensions Ratio Sum
The cuboid’s dimensions are in the ratio of 16:12:8, and the sum of these dimensions is 180 dm. What are the dimensions of the cuboid? - Cylinder melted into cuboid
A circular cylinder has an area of cross-section of 56 cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16 cm². What is the height of the cuboid? - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - 3 positive charges
Three equal positive charges Q are located at the vertices of an isosceles right triangle ABC. The right angle is at vertex A. The length of side AB is 1 m. What is the electric field strength at the center S of side BC, i.e., what force would act on a po - Diameter of a drum
Winding drum length 180 mm, initial diameter 60 mm. Using a 6 mm rope with a length of 50 m, what will be the diameter of the wound drum with the rope? - Cellar pump drainage
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water?
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