Solid geometry, stereometry - page 79 of 117
Number of problems found: 2336
- Cross-sections of a cone
Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body.
- Juice-soaked glass
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There are three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked por
- Surface 72394
The volume of the cube is 15625 cubic meters. Find the length of the edge and the surface of the cube.
- 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.
- Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters.
- 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.
- ABCDEFGH 82499
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?
- Precisely 82088
A regular helix is drawn on the shell of the cylinder such that it wraps around the cylinder precisely three times (that is, the point where it touches the upper base is exactly above the point where it touches the lower base). If the diameter of the cyli
- Diameter 44511
The tower's roof is a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover it?
- Centimeters 3623
The children's kit consists of blocks and cubes. Each cuboid has dimensions of 6 cm, 5 cm, and 4 cm, and each cube has an edge 5 cm long. Which of these building blocks has the larger surface area, and by how many square centimeters?
- Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes?
- Surface - formula
Of the formula, S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =?
- Triangular 46641
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume.
- Dimensions 44551
The base of the needle is a rectangle with dimensions of 20 cm and 10 cm, its height is 15 cm. Will the plasticine we needed to model this pyramid be enough to model two pyramids with a square base of 10 x 10 cm and a height of 15 cm?
- Increased 20383
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?
- Milk cartons
How much paper do we need for 12 tetra packs with 6 cm, 11 cm, and 20 cm dimensions? Will 1 liter of milk fit in the box?
- Butter
The Orville Redenbacher popcorn factory has a tank of artificial butter substitutes, which is 55 feet tall and 18 feet in diameter. How many gallons of artificial butter substitute can the tank contain?
- Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m.
- The roof of the church
The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?), and how many sheets of the sheet will be needed to cover the church roof?
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