Geometry - math word problems - page 97 of 165
Number of problems found: 3289
- Lawn roller
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn? - Crosswise
The gift box should be tied "crosswise." How many ribbons will be needed in total if the box dimensions are 40 cm, 30 cm, 10 cm, and 50 cm of ribbon required for the bow? - Bucket volume increase
We threw a prism with the base of a right triangle with squares 15 × 10 cm and a prism height of 1.5 dm into a 10 l bucket. How much has the volume in the bucket increased? - Reservoir - spherical
The reservoir is a sphere with a diameter of 12 m. If it is painted twice, how many kg of paint is needed to paint it, and one kilogram is enough to paint about 8 m²? - Paint cans
The room has 4 m, 5 m, and 2.4 m dimensions. Suppose one can is enough to paint 10 m². How many cans of paint are needed to paint the walls and ceiling of this room? - Prism - eq triangle
Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4 cm, and the body height is 6 cm. - Right prism
The base of the right prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism. - The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container? - Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail? - Rainfall
The average annual rainfall in our country is 619 mm. How many m³ of water falls on average per hectare? - Rotating cone II
Calculate the lateral surface area of a cone with base radius r = 20 cm and height h = 10 cm. - Sphere cuts
At what distance from the centre does a plane intersect a sphere of radius R = 46, if the area of the circular cross-section and the area of the great circle are in the ratio 2:5? - Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7 cm and 9 cm, the height of the base 4 cm, and the height of the prism 15 cm. Find the surfaces of both bodies. - The cylinder 5
The base of the cylinder is 20 dm in diameter and a height of 18 dm. Find its surface area. - Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72? - Sphere volume surface
Calculate a sphere's volume and surface area with a radius of 23 dm. - Volume of cone
Find the volume of a right circular cone-shaped building with a height of 9 m and a radius base of 7 m. - Body diagonal
Calculate the length of the body diagonal of the 6 cm cube. - Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical cap that forms part of the sector has a base radius r₁ = 6 cm and a height h = 2 cm. - Prism height expression
The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Using the corresponding expression of the prism, write the height of the prism in decimetres.
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