Solid geometry, stereometry - page 77 of 123
Number of problems found: 2442
- Cylindrical rod
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed? - Block diagonal length
Calculate the length of the body diagonal of a block measuring 6 cm, 7 cm, and 10 cm, and round the result to two decimal places. - Quadrangular pyramid
The decorative object has a quadrilateral pyramid shape. Its base edge is 0.7 dm, and its side edge is 1.4 dm long. Calculate its height. - Pyramid plasticine
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? - Tower roof
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? - Hexagonal Pyramid Volume
The tops of the base of a regular hexagonal pyramid lie on a circle with a radius of 10 cm. The height of the pyramid is 12 cm. What is its volume? - Collect rain water
The garden water tank is cylindrical, with a diameter of 80 cm and a height of 12 dm. How many liters of water will fit into the tank? - Building blocks
The children's building set consists of cuboids 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? - 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? - Prism surface
The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm2, and the body's height is 10 cm. Calculate the surface area of the body. - Water height
A block-shaped aquarium with 35 cm and 26 cm bottom dimensions is poured with 18.2 liters of water. How high is the water? - Triangular prism
The base of a right triangular prism is a right triangle with hypotenuse 14 cm and one leg 9 cm. The height of the prism equals 2/9 of the base's perimeter. Calculate the surface area of the prism. - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 27 cm. The edge length and height of the base of the prism are 4:3. - Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? - Rotation
A right triangle with legs 11 cm and 18 cm is rotated around the longer leg. Calculate the volume and surface area of the cone formed. - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Mr. Gardener
Mr. Gardener wants to make wood for the balcony. Boxes. Each will have the shape of a perpendicular prism with a square base. The height is limited to 60 cm. He will fill each container with soil by pouring the whole bag of substrate sold into a package c - Container NDR
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3 dm and a height of 20 cm. Will the cylinder overflow or not be compl - Prism volume surface
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - 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.
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