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Use the diagram below to answer parts B, and C.
5 in
5 in
4.3 in
14 in
5 in
Part B: What is the volume of the triangular prism?
Volume =
in3
Part C: What is the surface area of the triangular prism?
in2
Surface Area =

Use The Diagram Below To Answer Parts B And C 5 In 5 In 43 In 14 In 5 In Part B What Is The Volume Of The Triangular Prism Volume In3 Part C What Is The Surface class=

Sagot :

yersanabria

Answer:

The volume of the triangular prism in the diagram is:

  • 105.5 [tex]in^{3}[/tex]

The surface area of the triangular prism in the diagram is:

  • 10.75 [tex]in^{2}[/tex]

Step-by-step explanation:

First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:

  • Area of a triangle = (base * height) / 2

We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:

  • Area of a triangle = ( 5 in * 4.3 in) / 2
  • Area of a triangle = ( 21.5 [tex]in^{2}[/tex]) / 2
  • Area of a triangle = 10.75 [tex]in^{2}[/tex]

Now, we can calculate the volume of the triangular prism with the next formula:

  • Volume of a triangular prism = surface area * depth

In the diagram, we can see the depth is 14 inches, then:

  • Volume of a triangular prism = 10.75 [tex]in^{2}[/tex] * 14 in
  • Volume of a triangular prism = 105.5 [tex]in^{3}[/tex]

How you can see with the calculations perfomed, the surface area is 10.75 [tex]in^{2}[/tex] and the volume of that triangular prism is 105.5 [tex]in^{3}[/tex].

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