Solid geometry, stereometry - page 6 of 117
Number of problems found: 2336
- Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm.
- Dice-shaped 59953
How much paper will we need to make eight dice-shaped boxes with a 20 cm long edge?
- Cube-shaped 57101
The cube-shaped box with a length of 20 dm is filled with sand. If 1 m³ of sand weighs 1.5 t, what is the weight of sand?
- Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yards tall. What is the volume of the pool? Round the result to the nearest tenth.
- An architect
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume
- Mr. Franklin
As shown, Mr. Franklin built a new set of stairs to his side door. What is the total volume of Mr. Franklin's unique set of stairs?
- Mike chose
Mike chose four identical cubes, three identical prisms, and two identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions, the same as the cube. Its third dimension is two times longer. The diameter of the base of
- Hectoliters 48941
The pool has dimensions: a length of 50 m, a width of 15 m, and a depth of 2 m. It is filled with water to 1/4 of its depth. How many hectoliters of water are in the pool? How many hectoliters of water can fit in a filled pool?
- Water cylinder
Zuzana poured 785 ml of water into a measuring cylinder with a base radius of 5 cm. The water in the cylinder reached a height of 2 cm from the upper edge. How tall is the cylinder? (π = 3.14)
- Calculate 47933
Calculate the weight of the steel roller if d = 2.4 cm, height v = 5.6 cm, density ρ = 8 g / cm³.
- Cylindrical tank
The tank has the shape of a rotating cylinder with a base diameter of d = 3.4 m and a height of 4.5 m. How many liters of water are in the tank if the tank is filled to 2/3?
- Calculate 47773
Calculate the volume of a cube whose surface is 15,000 cm². Express the result in liters.
- Half-filled 47753
The shaped container with a bottom diameter of 25 cm and a height of 30 cm is half-filled with oil. How many liters of oil are in the container? Please round the result to three decimal places.
- Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms.
- Dredged 47291
The pit for the pool will be 30 meters long, 15 meters wide, and 2 meters deep. How many cubic meters of clay need to be dredged?
- Picture 47121
A 25 cm high layer of snow fell on the garden 110 m long and 60 m wide. How many m³ of snow fell? Draw a picture.
- Cylindrical 46983
62.8 hl of water per hour flows through the pipe into an empty cylindrical tank with a bottom diameter of 8 m. In 4 hours, the tank will be filled to what height?
- Frustrum - volume, area
Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm and a height of 5 cm.
- The diameter
The cone's diameter is 24 cm, and the radius is 12 cm. How many cm does height measure if it is one-third larger than the radius of the cone?
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