math-need help

posted by .

A right rectangular tank with a 12 unit by 8 unit base is filled with water to a depth of 5 units. The water rises 1.5 units when a solid cube is completely submerged in the tank. In simplest radical form, the edge of the cube is k*cube root of w units. Find the value of k plus w.

  • math-need help -

    The volume of the cube raises the water 1.5 units
    so the volume of the cube is:
    1.5 * 12 * 8 units cubed
    so
    V = 144 units^3
    that is the cube of the edge of the cube
    144 = (k* w^1/3)^3 = k^3 w
    That is all I can do with the information given.

  • math-need help -

    Oh, I see from your earlier questions that you are doing only integer answers
    Well, 144 is a handy number being 12^2
    so
    2 * 2 * 3 * 2 * 2 *3
    two will have to be cubed
    8 * 18 is 2^3 * 18
    So I think k = 2 and w = 18

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. AP CALCULUS!!! HELPP

    related rates: the base of a pyramid-shaped tank is a square with sides of length 12 meters, and the vertex pyramid is 13 meters above the base. the tank is filled to a depth of 5 meters, and water is flowing into the tank at the rate …
  2. solid mensuration

    Find the volume of water in the horizontal tank if it is 7/8 full. Radius of the tank is 600mm. and the lenght of the tank is 5m. If the tank is place in a vertical position, what is the depth of water inside the tank?
  3. math

    A tank, with a rectangular base and having vertical sides of height 4 m, is initially full of water. The water leaks out of a small hole in the horizontal base of the tank at a rate which, at any instant, is proportional to the square …
  4. math

    A tank was 3/5 filled with water. After removing 120 litres of water from the tank it was 1/5 filled. a)Find the amount of water the tank can hold when completely filed. b)If one litre of water has a mass of 1 kg, find the mass of …
  5. Math

    a rectangular tank with a square base of side 60 centimeters and a height of 45 centimeters is one third filled with water. water from a tap flows into the tank at 6 liters per minute. how long will it take to fill the tank completely?
  6. maths

    a rectangular tank 30cm×20cm×12cm contains water to a depth of 6 cm.A metal cube of side 10 cm is placed in the tank with one face resting on the bottom of the tank.find the volume of the water in the litre must be poured in the …
  7. calculus

    water is being siphoned from a cylindrical tank of radius 10m into a rectangular tank whose base measures 20m by 15m. if the depth of the water in the cylindrical tank in decreasing at a rate of 2m/s, at what rate is the depth of the …
  8. bctc

    A tank of water in the shape of an inverted cone is being filled with water at rate of 12m^3/min. the base radius of tank is 26 meters and the height of the tank is 8 meters. at what rate is the depth of the water in the tank changing …
  9. Geometry

    A tank in the form of a right rectangular prism (see figure below) has dimensions 1m x 2m x 3m. If the tank is filled with water, what is the mass of the water (in kg)?
  10. Grade 6: money and measures

    An empty rectangular tank with a base are of 2400 cm2 is filled with water from two taps.one tap can fill the tank with 12 liters of waTer per minute while the other tap can do it at 3 liters per minute. a. what will be the depth of …

More Similar Questions