Solid geometry, stereometry - page 77 of 123
Number of problems found: 2441
- Square pyramid
What is the surface of a regular pyramid with a square base? If each edge of the base measures 40 mm, the pyramid's height is 44 mm, and the pyramid's height is 38 mm. - 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. - Cube triangle volume
In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG? - Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm. Its base is a right isosceles triangle with a leg length of 5 cm. - Billboard paper saving
How much m² of paper do we save if we do not glue one-third of the total area of the block-shaped billboard area with dimensions of 0.6 m, 0.7 m, and 1.4 m? - 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? - Cube volume surface
The volume of a cube is 0.512 m³. Calculate its surface area. - Cube volume edge
The volume of the cube is 15625 cubic meters. Find the length of the edge and the surface of the cube.
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