Solid geometry, stereometry - page 66 of 117
Number of problems found: 2337
- Calculate 30961
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm.
- 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.
- Calculate 8891
Calculate the weight of a PVC pipe with an inner diameter d = 45 mm and a length l = 3 m if the wall thickness of the pipe is s = 7.5 mm. The density of PVC is ρ = 1350 kg/m³.
- Centimeters 6604
A four-sided prism has a volume of 648 cubic centimeters. The trapezoid that is its base has the dimensions a is equal to 10 centimeters, c is equal to eight centimeters, and height v is equal to 6 centimeters. Calculate the height of the prism.
- Calculate 6566
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long.
- Calculate 6331
The regular hexagonal pyramid has a base edge of 20 cm and a side edge of 40 cm. Calculate the height and surface of the pyramid
- 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?
- Raymond
Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50mm by 100mm. Therefore, he needs to make the height of the Tetrapak.
- Top-open tank
The top-open tank resembles a truncated rotating cone, standing on a smaller base. Its volume is 465 m3, and the bases' radii are 4 m and 3 m. Find the tank's depth.
- Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm².
- Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone?
- Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.
- 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?
- Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume.
- Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm.
- 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.
- Cylinder
The cylinder-shaped container has 80 liters of water. The water reaches 45 cm in height. How many water liters will be in a container if the water level extends to a height of 72 cm? Write the result in liters. Write down only as a whole or decimal number
- 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
- Calculation 81401
A regular four-sided pyramid has a volume of 2,160 liters and a base edge length of 12 dm. Calculate the height of the needle (sketch, calculation, answer).
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