Solid geometry, stereometry - page 66 of 121
Number of problems found: 2402
- Tetrahedral pyramid
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges. - Painting a column
How many kg of paint do we need to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m long and a height to the base edge of 2 m, if 1 kg of paint is enough for 25 m² of paint? The column is 10 m high. - Perpendicular 79804
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he - Cylinder-shaped 71384
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool? - Cylinder-shaped 22643
The cylinder-shaped container is filled with 80 l of water and is 70 cm high. Calculate the diameter of the bottom of the container. - Cylindrical 19773
When we pour 3 l of water into a cylindrical tin can, the water rises to 20 cm. Calculate the average can. - Calculate 19443
Calculate the height of the cylinder when r = 10 mm and S = 800 mm². Calculate the radius / r / of the cylinder when the height is 20 mm and S = 1000 mm².
- Quadrilateral 8109
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface. - Quadrilateral 6332
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid. - Calculate 28011
The volume of the cone is 9.42 cm3, and its base diameter is 3 cm. Calculate 1 / height of the cone 2 / side cones 3 / cone surface - Dimensions 18833
The 4-sided prism has a volume of 648 cubic cm. The trapezoid, its base, has the dimensions a-10cm, c-8cm, h-6cm. Calculate the height of the prism - Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm. - Corresponding 7100
A honeycomb is made up of cells that resemble a regular hexagonal prism, with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. a) How many liters of honey are there in the whole comb if the comb consists o - Kilograms 4994
The janitor is to paint the computer room walls, which are 7 m long, 5 m wide and 3 m high. The classroom has four square windows with a length of 1 m and a door 1 m wide and 2 m high. At least how many kilograms of paint should he buy if 1 kg of paint pa - Frustrum - volume, area
Calculate the surface and volume of the truncated cone. The radius of the smaller figure is 4 cm, the height of the cone is 4 cm, and the side of the truncated cone is 5 cm.
- Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm. - Calculate
Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee. - Cylindrical tank
9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach? - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig.
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