Geometry - math word problems - page 101 of 165
Number of problems found: 3289
- Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism. - Glass Waste Container Hole
The round hole of the glass waste container has a diameter of 18 cm. Will a four-liter glass pass through this hole? If there are 4 liters of water in the glass, it reaches a height of 20 cm. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - Building shadow height
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm. - Butter package
A butter cube with an edge 6.5 cm long is packed in a package measuring a = 28 cm, b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 2488 cm³. Calculate the radius of the base circle and the height of the cone. - Axial section
The axial cross-section of a cone is an equilateral triangle with an area of 208 km². Calculate the volume of the cone. - Geometric drawing exercise
Draw in one picture: a) straight line RZ b) YZ for which YZ is perpendicular to RZ c) the half-line RS diverging with YZ and with the line RZ d) point F, which lies on YZ outside the already selected points e) point H, which lies on the half-line RS and t - Three points
Mark three points E, F, and G in the plane, not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF - Draw it!
Draw two lines c, d that c || d. On line c, mark points A and B. By point A, a lead perpendicular line to c. By point B, lead perpendicular line to c. - Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1 A2A3. .. A12. Express the result in degrees. - A screen
A screen has a resolution of 1,680 × 1,050 pixels. What are the coordinates and dimensions (in pixels) of the central rectangular area that is exactly 33% of the screen's size? - Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply.... - Number Between Two Values
Which number is also on the number axis from numbers 299 and 1051? - Pool depth volume
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³
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