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Alex73 [517]
3 years ago
11

Can someone please find the volume of this shape and show work for how you did it??

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0

Answer:

221.4m^{3}

Step-by-step explanation:

To work out the volume of this shape you will first need to work out the area of the triangle. To work out the area of the triangle you would multiply the base of 12 by the height of 4.1, which gives you 49.2. You would then need to divide 49.2 by 2, which gives you 24.6. This is because the formula for the area of a triangle is the same as that of a square, however a triangle is half of a square with the same length and width. To work out the volume you would multiply the area of the triangle, which is 24.6 by the height of 9, which gives you 221.4m^{3}

1) Multiply 12 by 4.1.

12*4.1=49.2

2) Divide 49.2 by 2.

49.2/2=24.6

3) Multiply 24.6 by 9.

24.6*9=221.4m^{3}

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Step-by-step explanation:

To find the area of a square or rectangle, all you need to do is multiply the length times the width:

L × W = A

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100 × 50 = 5000

However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.

First, let's get the two circles over with. To find the area of a circle, use this formula:

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Now let's multiply the area of one of those circles by 2, since we have 2 circles:

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The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:

5000 - (226 + 364) = 4410 ft^2

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