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Reptile [31]
3 years ago
13

How to find the volume of this composite figure

Mathematics
2 answers:
babymother [125]3 years ago
8 0
1st you're going to want to divide the figures into smaller parts. I deviated them and got the measurements 2W, 1L, and 2H. The formula for rectangular prisms is LxWxH and I got 4.

Now we need to use the same formula for the other figure. 
4L, 2W, and 1H.  
Multiple them all and we get 8

Now we take the Volume of both the figures and add them together 8+4 = 12
So, the volume of the composite figure is 12 
Tom [10]3 years ago
3 0
The volume of the figure is 12
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Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do
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This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

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