Cube root + third power - practice problems
Number of problems found: 79
- Sphere volume formula
If V=4/3 π r³, find, the value of V when r = 7, the value of r when V=113 1/7
- Stationary 57031
Determine the distance of a stationary satellite from the Earth's surface.
- Perfect cube
Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331
- Calculate 45991
Calculate the radius of a sphere that has the same volume as a cone with a radius of 5cm and a height of 7cm.
- Liters 44041
What is the length of the edge of a cube with a volume of V = 1728 liters?
- Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
- Three cubes
Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge?
- 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 m² 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 that has 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.
- Cuboid to cube
A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.
- 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?
- 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.
- Diameter 21173
The water ball has a volume of 32,500m². 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: A cuboid was made from a block of 16x18x48 mm of modeline. What will be the edge of t
- Original 18203
There is a cube with an edge. How long must be the edge of the cube in which the volume should be twice the volume of the original cube
- Cuboid and ratio
Find the dimensions of a cuboid having a volume of 810 cm³ if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5
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