Calculate volume of object that is submerged

In summary, to calculate the volume of an object that is submerged, the formula V = A x d is used, where V is the volume, A is the area of the base of the object, and d is the depth of the submerged object. The area of the base can be determined by measuring the length and width of the base or using specific formulas for regular shapes. The unit of measurement for volume is typically cubic meters or cubic centimeters, but may vary depending on the size of the object. An irregularly shaped object can be calculated using the displacement method, where the change in water level is equal to the volume of the object. Factors that can affect the accuracy of the calculated volume include the precision of measurements, the shape and
  • #1
physstudent1
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Homework Statement




an ice cube with a volume of 45ml and a density of .9g/cm^3 floats in a liquid with a density of 1.36g/ml. What volume of the cube is submerged in the liquid.

Homework Equations





The Attempt at a Solution



I did 45ml(.9g/cm^3) = 40.5g then I divided this mass by the denisity of the liquid

and got 29.8mL is this correct if not what am i doing wrong.
 
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  • #2
Seems right to me. The mass of the cube should equal the mass of the displaced liquid.
 
  • #3


Your attempt at a solution is correct. To calculate the volume of the cube that is submerged, you can use the formula Vsub = Vtotal - Vabove, where Vtotal is the total volume of the cube (45ml) and Vabove is the volume of the cube that is above the surface of the liquid (calculated as 40.5g/1.36g/ml = 29.8ml). Therefore, Vsub = 45ml - 29.8ml = 15.2ml. This means that 15.2ml of the cube is submerged in the liquid.
 

What is the formula for calculating the volume of an object that is submerged?

The formula for calculating the volume of an object that is submerged is V = A x d, where V is the volume, A is the area of the base of the object, and d is the depth of the submerged object.

How do you determine the area of the base of the submerged object?

The area of the base of the submerged object can be determined by measuring the length and width of the base and multiplying them together. If the base is a regular shape, such as a square or circle, there are specific formulas that can be used.

What is the unit of measurement for volume?

The unit of measurement for volume is typically cubic meters (m^3) or cubic centimeters (cm^3). However, depending on the size of the object, other units such as liters or gallons may also be used.

Can you calculate the volume of an irregularly shaped object that is submerged?

Yes, the volume of an irregularly shaped object that is submerged can be calculated by using the displacement method. This involves placing the object in a container filled with water and measuring the change in water level. The change in water level is equal to the volume of the object.

What factors can affect the accuracy of the calculated volume of a submerged object?

The accuracy of the calculated volume of a submerged object can be affected by factors such as the precision of the measurements, the shape and size of the object, and any irregularities in the surface of the object. Additionally, changes in temperature or pressure can also impact the accuracy of the calculation.

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