sna216 sna216
  • 21-04-2022
  • Mathematics
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PLEASE HELP ASAP! Find the volume of the prism.

PLEASE HELP ASAP Find the volume of the prism class=

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feras119fff
feras119fff feras119fff
  • 21-04-2022

[tex]30 + 2 \sqrt{3} cubic \: units[/tex]

This the answer

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watsonultra2
watsonultra2 watsonultra2
  • 21-04-2022

Answer:

5sqrt3

Step-by-step explanation:

Know that area of a Equilateral triangle is

[tex] \frac{ \sqrt{ 3} }{4} {a}^{2} [/tex]

where as a is the side of it.

so area of the triangle in the base of the prism is

[tex] \frac{ \sqrt{ 3} }{4} \times {2}^{2} = \sqrt{3} [/tex]

so the volume will be

[tex]area \: of \: the \: base \: of \: the \: prism \: \times the \: length \: of \: it = 5 \sqrt{3} [/tex]

Answer Link

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