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tatuchka [14]
3 years ago
7

Determine the volume of the picture below. Please help

Mathematics
2 answers:
xenn [34]3 years ago
8 0

Answer:

6825 in

Step-by-step explanation:

Since the shape is a composite figure, we need to break it up into 2 shapes!

Rectangle and a triangular prism

Solving for Rectangle...

Volume = Length · Width · Height

Volume = 30 · 13 · 13

Volume = 5070 in

Solving for Triangular Prism

Volume = Length · Width · Height / 2

Volume = 30 · 9 · 13 / 2

Volume = 3510/2

Volume = 1755 in

Finally, add the volumes!

5070 + 1755 = 6825 in

Vlada [557]3 years ago
4 0
The answer to this question is D
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Ipatiy [6.2K]

Let the points be A,B,C

  • A(0,0)
  • B(24,16)
  • C(8,20)

#A

\\ \bull\sf\leadsto AB=\sqrt{(24-0)^2+(16-0)^2}=\sqrt{24^2-16^2}=\sqrt{576-256}=\sqrt{320}=17.4units(leg3)

\\ \bull\sf\leadsto AC=\sqrt{(8-0)^2+(20-0)^2}=\sqrt{8^2+20^2}=\sqrt{64+400}=\sqrt{464}=21.4units(leg1)

\\ \bull\sf\leadsto BC=\sqrt{(24-8)^2+(26-20)^2}=\sqrt{16^2+(-4)^2}=\sqrt{256+16}=\sqrt{272}=16.4units(leg2)

#B

We have to find perimeter

\\ \bull\sf\leadsto Perimeter=AB+AC+BC

\\ \bull\sf\leadsto Periemter=17.4+16.4+21.4

\\ \bull\sf\leadsto Perimeter=55.2units

#C

The length of leg3=17.4units

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