Cube root - practice problems

Number of problems found: 102

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
Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter .
Perfect cube
Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331
Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
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?
Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
Present value
A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. How much should the monthly payment be in order to pay off the debt in 15 years?
The cube
The cube has a surface of 600 cm². What is its volume?
If the 3
If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.
Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
Thousand balls
We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
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.
The funnel
The funnel has the shape of an equilateral cone. Calculate the content of the area wetted with water if you pour 3 liters of water into the funnel.
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.
The cube
The cube has a surface area of 216 dm². Calculate: a) the content of one wall, b) edge length, c) cube volume.
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.

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