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storchak [24]
2 years ago
12

The shape below is a composite figure made up of two rectangular prisms, what is the volume of the figure?

Mathematics
2 answers:
gregori [183]2 years ago
5 0

Answer:

<u>11098 cm³</u>

Step-by-step explanation:

<u>Volume of top prism</u>

  • V = 62 x 3 x (13 - 7)
  • V = 186 x 6
  • V = 1116 cm³

<u>Volume of bottom prism</u>

  • V = 62 x 23 x 7
  • V = 1426 x 7
  • V = 9982 cm³

⇒ Total volume = Volume (top) + Volume (bottom)

⇒ Total volume = 1116 + 9982

⇒ Total volume = <u>11098 cm³</u>

viktelen [127]2 years ago
5 0
<h3>to find:</h3>

the volume of the given figure.

<h3>solution:</h3><h3>area:</h3>

= 179 \:  {cm}^{2}

<h3>volume:</h3>

area \: of \: c.s \:  \times h

= 179 \times 62

= 11098 \:  {cm}^{3}

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>figure</u><u> </u><u>is</u><u> </u><u>1</u><u>1</u><u>0</u><u>9</u><u>8</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>

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XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks. The result is the data list 5, 3,
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3 years ago
The expression x+8x+10 is modeled below
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  add 6 unit tiles

Step-by-step explanation:

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A cube is dilated by a factor of 2. How many times larger is the volume of the resulting cube than the volume of the original cu
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Answer:

Example:

Cube with sides: 3. V= 3x3x3= ?

Cube with sides: 6. V= 6x6x6=?

How many times bigger is the second answer? That’s it!


Step-by-step explanation:


8 0
2 years ago
Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)
vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

6 0
2 years ago
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