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storchak [24]
3 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]3 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]3 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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3 years ago
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2 years ago
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3 years ago
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Step-by-step explanation:

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4 0
3 years ago
S
Rudiy27

Answer:

<h2>(3, -2)</h2>

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y < -1/2x + 2

for (2, 3) → x = 2, y = 3

3 < -1/2(2) + 2

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3 < 1     FALSE

============================

for (2, 1) → x = 2, y = 1

1 < -1/2(2) + 2

1 < -1 + 2

1 < 1    FALSE

============================

for (3, -2) → x = 3, y = -2

-2 < -1/2(3) + 2

-2 < -1.5 + 2

-2 < 0.5      TRUE

============================

for (-1, 3) → x = -1, y = 3

3 < -1/2(-1) + 2

3 < 1/2 + 2

3 < 2 1/2      FALSE

6 0
4 years ago
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