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Chapter 1: Problem 58

How is the volume of an irregular shaped solid determined? Explain.

Short Answer

Expert verified
Question: Explain the steps involved in determining the volume of an irregular shaped solid using the displacement method.

Step by step solution

01

Gather necessary materials

Obtain a container, preferably one with clear sides and with measuring marks (like a graduated cylinder or beaker) that is sufficiently large enough to hold the irregular solid and liquid. Additionally, prepare water which will be used to measure the displacement volume.
02

Measure initial liquid volume

Fill the container with enough liquid to ensure that the irregular solid will be fully submerged. Note down the initial volume of the liquid present; this reading will be necessary later on to calculate the volume of the irregular solid.
03

Carefully insert the irregular solid

Carefully lower the irregular solid into the container, ensuring it is fully submerged without any bubbles (trapped air). To prevent splashing and possible inaccuracies, consider using a string or other apparatus to assist with lowering the solid object.
04

Record the final liquid volume

Once the irregular solid is completely submerged and at rest, note the new liquid volume in the container. It should have increased as a result of the displacement caused by the irregular solid object.
05

Calculate the volume of the irregular solid

To find the volume of the irregular solid, subtract the initial liquid volume from the final liquid volume. The difference represents the volume of the irregular solid that has displaced an equal volume of liquid. In mathematical terms: Volume of irregular solid = Final liquid volume - Initial liquid volume Now you have successfully determined the volume of an irregular shaped solid using the displacement method.

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