Surface area + volume - practice problems - page 7 of 26
Number of problems found: 505
- Volleyball 24471
The radius of a volleyball is 10 cm. Calculate how many liters of air fit into an ideal inflated ball. Calculate how many square meters of leather material you need to make it. - Original 63984
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube. - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Calculate 32513
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume
- Dimensions 3929
An aquarium has 64 * 50 * 45cm dimensions and is filled 5cm below the edge. How many liters of water are in an aquarium? How many square meters are needed to produce an aquarium? - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Dimensions 7932
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface. - Dimensions 4552
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium? - Magnified cube
If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube. - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
- Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin. - Calculate 38073
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm². - Copper plate
Calculate the thickness of the copper plate with a density of 8.7 g/cm³ measuring 1.5 meters and 80 cm, and its weight is 3.65 kg. - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - The water tank
The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank if we paint with 1 kg of paint 10 m²?
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