Geometry - math word problems - page 103 of 162
Number of problems found: 3231
- Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm - Rainfall
Annual rainfall in our country is an average of 619 mm. How many m³ of water rains on average per hectare? - Square 8420
How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter? - Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Quadrilateral 16603
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm. - Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
- Quadrilateral 82052
Calculate the volume of a regular quadrilateral pyramid with a square base of side a=8 cm and a height of the pyramid of 11 cm. - Assembled 80750
We assemble different bodies from five identical cubes. The volumes of all bodies are equal. Calculate the surfaces of the assembled bodies. - Square prism
A square prism has a base with a length of 23 centimeters. What is the area in square centimeters of the base of the prism? - Centimeters 4054
Find the surface of the cylinder if its diameter is 12 centimeters and its height is 9 centimeters. - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Cylindrical 24211
The cylindrical container is completely filled and contains 62.8 liters of water. It is half a meter high. Calculate the bottom diameter. - Millimeters 4811
Construct a triangle ABC if you know the lengths of its sides c = 5 cm, a = 4 cm and angle ABC is 60°. Measure the length of side b in millimeters. Side length b is: a, 75 mm < b < 81 mm b, 53 mm < b < 59 mm c, 43 mm < b < 49 mm d, 13 mm - Equilateral cone
A cup has the shape of an equilateral cone (side “s” is the same size as the diameter of its base - the axial section is an equilateral triangle) It is supposed to hold 0.2 liters of liquid at a level 1 cm below the rim. Calculate its diameter
- Height of the prism
The volume of the quadrilateral prism is 723.6 cm³. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism. - Cylinder and its circumference The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c?
- Observatory
The observatory dome has the shape of a hemisphere with a diameter d = 10 m. Calculate the surface. - My father
My father cut 78 slats on the fence. The shortest of them was 97 cm long, and the longer one was 102 cm long. What was the total length of the slats in cm? - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
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