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Which of the following would allow you to find the volume of an irregular shaped solid object? a length \( x \) width \( x \) height b triple beam balance c graduated cylinder d water displacement

Ask by Vaughan Clarke. in the United States
Feb 02,2025

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Answer

The best way to find the volume of an irregularly shaped object is to use **water displacement**.

Solution

To find the volume of an irregularly shaped solid object, the most suitable method from the options provided is: **d. water displacement** ### Explanation: 1. **Length \( x \) Width \( x \) Height (Option a)**: This method applies to regular-shaped objects (like cubes or rectangular prisms) where you can measure the dimensions directly. It does not work for irregular shapes. 2. **Triple Beam Balance (Option b)**: This tool is used to measure mass, not volume. While you can find the density of an object using mass and volume, it does not directly measure the volume of an irregular object. 3. **Graduated Cylinder (Option c)**: While a graduated cylinder is used to measure liquid volumes, it does not directly measure the volume of solid objects unless used in conjunction with water displacement. 4. **Water Displacement (Option d)**: This method involves submerging the irregular object in water and measuring the volume of water displaced. This is a direct way to find the volume of irregularly shaped objects. Thus, the correct answer is **d. water displacement**.

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The Deep Dive

One of the easiest ways to find the volume of an irregular shaped solid is through water displacement. You simply submerge the object in a graduated cylinder filled with water and measure the rise in water level - voila! That difference in volume gives you the volume of your tricky-shaped friend directly. Another fun method is using a triple beam balance to determine the mass of the object first, and then using the density formula (density = mass/volume) to calculate the volume if you know the material's density. However, this approach can be a bit more roundabout and less direct than water displacement!

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