Geometry - math word problems - page 120 of 162
Number of problems found: 3232
- Cylinder-shaped 47311
Forty-eight liters of water are now in the vertical cylinder-shaped water tank. The water reaches a height of 27 cm. After an all-day downpour, water reaches a height of 72 cm. How much water will there be in the tank?
- Construction 27743
The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction.
- Calculate radius
The surface of the sphere is 624 cm². Calculate its radius.
- Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm.
- Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
- Triangle 73464
The given line is a BC length of 6 cm. Construct a triangle so that the BAC angle is 50° and the height to the side is 5.5 cm. Thank you very much.
- Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point
- Ten points
There are ten arbitrary points in the plane. How many circles can we make from them?
- Dimensions of an aquarium
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths?
- Dimensions 7915
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?
- Prism dimensions
We will double one block dimension and reduce the other by a third. How does its volume change?
- Percentage 39373
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere?
- Tangents construct
The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has a line p angle 60°. How many solutions have the task?
- Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3.
- Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter.
- Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface?
- Equilateral 14873
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle.
- Calculate 3993
The median of the trapezoid p is 18.6 cm, and the base a = 29.8 cm. Calculate the size of the second base c.
- Percentage 48223
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe?
- 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 1m. What is the electric field strength at the center S of side BC, i.e., what force would act on a pos
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