Algebra + cube - math problems

Number of problems found: 114

  • 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.
  • Surface and volume - cube
    Find the surface and volume of a cube whose wall diagonal is 5 cm long.
  • Cube-shaped container
    The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, the
  • 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?
  • The pool
    The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
  • 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?
  • Volume per time
    How long does fill take for a pump with a volume flow of 200 l per minute fill a cube-shaped tank up to 75% of its height if the length of the cube edge is 4 m?
  • The wooden
    The wooden block measures 12 cm, 24 cm, and 30 cm. Peter wants to cut it into several identical cubes. At least how many cubes can he get?
  • 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?
  • Truncated cone 6
    Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1.
  • 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.
  • Aquarium height
    How high does the water in the aquarium reach, if there are 36 liters of water in it? The length of the aquarium is 60 cm and the width is 4 dm.
  • Cube surfce2volume
    Calculate the volume of the cube if its surface is 150 cm2.
  • The cube
    The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.

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Algebra - math problems. Cube Problems.