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lana66690 [7]
3 years ago
6

. The density of an object is its mass per unit of volume. Imagine two objects in which the larger one actually weighs less than

the smaller one. This difference in weight is attributed to density. Consider a candle that has a volume of 96 cubic inches and a weight of 44.16 ounces. What is the density of the candle? The density is defined as its mass per unit volume, so simply divide the mass of the candle by its volume: . In this case, you are finding the average density of the candle. In most cases, you will be finding the average density of objects because most objects do not have a uniform density. For instance, the portion of the candle where the wick is might have a different density than the rest of the candle. Now that you know about density, let’s work on some applications. Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds. Part A Which shapes can you use to model the log and the board?
Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Part A.

The log can be modeled by a cylinder.

The board can be modeled by a rectangular prism.

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<u>Solution:</u>

Given that , In art class, Arthur has created a triangle painting \frac{1}{5} of his painting is purple.  

He decided he wants to Paint \frac{4}{8} of the purple area gold  

We have to find what fraction of the whole painting will be painting?  

Now, \frac{1}{5} part of whole painting is purple

And, \frac{4}{8} part of the purple area is gold ⇒ \frac{4}{8} part of the \frac{1}{5} part of whole painting is gold

\text { Then, fraction of gold color }=\frac{4}{8} \times \frac{1}{5}=\frac{1}{2} \times \frac{1}{5}=\frac{1}{10}

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