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Mandarinka [93]
3 years ago
10

Find the volume of the composite figure below: 5 in 8 in 6 in 10 in

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Answer:

716in³

Step-by-step explanation:

The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.

For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about <u><em>235.62 cubic inches.</em></u>

For the volume of the other prism, we simply have to do length <em>times</em> height <em>times </em>width, or 6·8·10. That is equal to <em><u>480 cubic inches</u></em>, which is the volume of that prism.

To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.

235.62+480= 715.62in³, or about <em><u>716in</u></em><em>³.</em>

<u><em>Hope this helps.</em></u>

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D

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A recipe calls for 1 3/4 cups of sugar. How many cups of sugar are needed if only 3/8 of the recipe is being made?
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Step-by-step explanation:

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3 years ago
3(8 - 4x) = 12<br><br> Please help. You have to use distributive property to solve.
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x=1

Step-by-step explanation:

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3 years ago
What is the area of the trapezoid?
ExtremeBDS [4]
<h2>Answer:</h2>

42 square units

<h2>Step-by-step explanation:</h2>

For a better understanding, I add an EFGH Rectangle.

The area of EFGH Rectangle = p x l

The area of EFGH Rectangle = 10 x 8

The area of EFGH Rectangle = 80cm²

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x 6 x 4

The area of BHA Triangle = 2 x 6

The area of BHA Triangle = 12cm²

The area of AGD Triangle = 1/2 x a x t

The area of AGD Triangle = 1/2 x 4 x 2

The area of AGD Triangle = 4cm²

The area of CFD Triangle = 1/2 x a x t

The area of CFD Triangle = 1/2 x 2 x 6

The area of CFD Triangle = 6cm²

The area of BEC Triangle = 1/2 x a x t

The area of BEC Triangle = 1/2 x 8 x 4

The area of BEC Triangle = 4 x 4

The area of BEC Triangle = 16cm²

The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)

The area of the trapezoid = 80 - (12 + 4 + 6 + 16)

The area of the trapezoid = 80 - 38

The area of the trapezoid = 42cm²

<h3>Conclusion :</h3>

The area of the trapezoid is <u>42 square units</u>

7 0
2 years ago
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