Posted by **jujube** on Monday, January 21, 2008 at 4:49pm.

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 -
**Damon**, Monday, January 21, 2008 at 5:11pm
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 -
**Damon**, Monday, January 21, 2008 at 5:18pm
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

## Answer this Question

## Related Questions

- Math - Jan built a cube from unit cubes (each 1 by 1 by 1 unit). Ken took this ...
- math - A tank, with a rectangular base and having vertical sides of height 4 m, ...
- accounting - Anthony Company uses a perpetual inventory system. It entered into ...
- Chemistry (Check) - Completion 1)Metric 2)Five 3)Meter 4) 5)Weight The ...
- math - A tank was 3/5 filled with water. After removing 120 litres of water from...
- Math - A rectangle has parameter of 24 unit, if width is 4 unit what is length. ...
- math - A rectangular tank of 5 m long,4 m wide and 5 m high is filled with water...
- AP CALCULUS!!! HELPP - related rates: the base of a pyramid-shaped tank is a ...
- AP CALCULUS!! HELPPP URGENT - related rates: the base of a pyramid-shaped tank ...
- geometry - The vertices of pentagon LMPQR are at L(4, -2), M(5, -2), P(8, -5), ...