Solid geometry, stereometry - page 107 of 117
Number of problems found: 2330
- Determine 81311
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm.
- Substance 81736
What kind of substance is it if it is enclosed in a cube with a volume of 8 m³ weighing 110 kg and the entire cube weighs 115.78 kg?
- The body
The body has 2 m, 2 dm, and 10 cm dimensions. It weighs 28 kg. What is its density?
- Wood cuboid
What is the weight of the wood cuboid 15 cm, 20 cm, and 3 m if 1 m³ wood weighs 800 kg?
- A cube
A cube has a surface area of 64 ft². Hedy creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction?
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm².
- Determine 46401
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³.
- Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm.
- Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
- Cube-shaped 2751
What weight will a cube-shaped concrete base with an edge length of 10 m have if one concrete cube weighs 2200 kilograms?
- Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid.
- Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot
- Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%?
- Cone 15
The radius of the base of a right circular cone is 14 inches, and its height is 18 inches. What is the slant height?
- Circumference 27161
Sketch the cone mesh and add the side length, the arc length of the circle, and the circle length to it, if you know: the side length of the cone: s = 51.9 cm cone base circumference = O = 151 mm.
- Granite cube statue
What is the weight of a granite cube with an edge length of 75 cm if one m³ of granite weighs 2.7 tons?
- Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)?
- Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material.
- Calculate 81939
The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid.
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