Third power + expression of a variable from the formula - practice problems - page 2 of 5
Number of problems found: 83
- Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
- Millimeter 30041
Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter.
- Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³?
- Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal.
- Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
- Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
- Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm.
- 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?
- Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter?
- An example
An example is playfully for grade 6 from Math, and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: The student made a cuboid from a block of 16x18x48 mm of plasticine. What will be th
- Original 18203
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube?
- Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid.
- Wall thickness
The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm³.
- Juice-soaked glass
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There are three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked por
- Material 16923
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh?
- Cylindrical 16713
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface to submerge them below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the diameter of the
- The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger?
- Length of the edge
Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number.
- Increases 14471
How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%?
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