Solid geometry, stereometry - page 67 of 121
Number of problems found: 2402
- Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle.
- Jar
The jar has the shape of a cylinder. Height of jar h = 8 cm, and jar diameter D is 8 cm. After rolling the pot, some water spilled, and the water level accurately reached half of the base. The water level makes a parabola with the same diameter. How to ca
- The factory
The factory ordered 500 hexagonal steel bars in square sections with 25 mm sides. Suppose the steel density is 7,850 kg. m-3, how many cars with a load capacity of 3 tonnes will be needed to move the bars?
- Room dimensions
The room dimensions are 5m and 3.5m, and the height is 2.85m. Paint the room (even with the ceiling). There will be two layers. Doors and windows have a total of 2.5 m². One box of paint is enough for 6 m². How many boxes of paint are needed? How much do
- Quadrilateral 23701
We know a regular quadrilateral pyramid's base diagonal length of u = 4 cm. The height of the pyramid is v = 5cm. Calculate the size of the side edge and the base edge of the pyramid.
- Perimeter 20263
The base of the block has the shape of a rectangle 2.6 m long and 2.2 m wide. The block's height is 1/8 of the base's perimeter. Calculate the volume and area of the block.
- Surface 19383 cone
The volume of a cone with a radius of 6 cm is 301.44 cm cubic. What is its surface?
- The quadrilateral pyramid
The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
- Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm.
- Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.
- Calculate 6207
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network.
- Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism?
- Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area?
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if
- Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m
- Quadrangular pyramid
The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area.
- A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell.
- Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2.
- Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
- Quadrangular prism
The quadrangular prism has a volume of 648 cm³. The trapezoid, which is its base, has the dimensions a = 10 cm, c = 5, and height v = 6 cm. What is the height of the prism?
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