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A rectangular tank measuring 50 cm by 30 cm by 40 cm is 1/2 filled with water. When 4 metal cubes with an edge of 15 cm are placed in the tank, the water level rises. Find the height of the new water level?

 May 25, 2014

Best Answer 

 #2
avatar+118616 
+10

We don't really need to know how much water is in the bowl or high high the tank is.

the metal cubes will take up $$4\times 15^3=13500cm^3$$

I will assume that 40cm is the height of the tank - the question should have stated this.

The surface area ofthe water is $$50\times 30 = 1500cm^2$$

$${\frac{{\mathtt{13\,500}}}{{\mathtt{1\,500}}}} = {\mathtt{9}}$$

The water will rise 9cm

 May 26, 2014
 #1
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To find the volume of the tank, you must mulitiply all of the sides. 50*40*30

V= 60,000    However, the water only occupies a space of 30,000 since it's only half filled.

To find the volume of the cubes, you cube the side length given, and multiply by 4 because there are 4 cubes.

4(15^3) = 13,500

That means the water level will rise 13,500. So add that to the water level of 30,000.

43,500 cm is the height of the water level.

 May 26, 2014
 #2
avatar+118616 
+10
Best Answer

We don't really need to know how much water is in the bowl or high high the tank is.

the metal cubes will take up $$4\times 15^3=13500cm^3$$

I will assume that 40cm is the height of the tank - the question should have stated this.

The surface area ofthe water is $$50\times 30 = 1500cm^2$$

$${\frac{{\mathtt{13\,500}}}{{\mathtt{1\,500}}}} = {\mathtt{9}}$$

The water will rise 9cm

Melody May 26, 2014

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