Area of a shape + ratio - practice problems - page 10 of 11
Number of problems found: 203
- Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume.
- 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.
- 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.
- Calculation 83339
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct.
- Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism.
- 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
- Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base.
- 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.
- Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m².
- Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?
- Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid.
- Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block.
- Cone and the ratio
The rotational cone has a height of 43 cm, and the ratio of the base surface to the lateral surface is 5: 7. Calculate the surface of the base and the lateral surface.
- Calculate 81935
The volume of the cuboid is 960 cm³. The lengths of the edges are in the ratio 1 : 3: 5. Calculate the surface area of the cuboid.
- Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?
- Calculate 81936
The volume of the block is 7,500 dm³. The lengths of the edges are in the ratio 3: 4: 5. Calculate the surface area of the cuboid.
- Calculation 81405
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer).
- 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.
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