Solid geometry, stereometry - page 2 of 97
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 1939
- Dice-shaped 59953
How much paper will we need to make eight dice-shaped boxes with a 20 cm long edge? - Cylinder S,V
What is the volume and surface area of a cylinder whose base has a diameter of 3.15 cm and a height of 25 cm? - Cube-shaped 57101
The cube-shaped box with a length of 20 dm is filled with sand. What is the weight of sand if 1 m³ of sand weighs 1.5 t? - Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yard tall. What is the volume of the pool? Round 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
Mr. Franklin built a new set of stairs to his side door as shown. What is the total volume of Mr. Franklin’s new set of stairs? - Mike chose
Mike chose 4 identical cubes, 3 identical prisms and 2 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 2 times longer. The diameter of the base of the cylinder - Hectoliters 48941
The pool has dimensions: length of 50 m, width of 15 m, and 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 of the cylinder. 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. - Cylinder 47923 The tank has the shape of a rotating cylinder with a base diameter 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? 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. To what height will the tank be filled in 4 hours? - 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 diameter of the cone is 24 cm, the radius is 12 cm. How many cm does height measure if it is one-third larger than the radius of the cone? - Calculate 46741
Calculate the weight of the pendant - a regular four-side prism made of glass. The density of the glass is 2.5 g / cm3, the edge of the base is 2 cm, and the height of the pendant is 5.5 cm.
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