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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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