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Sagot :
Part A: The correct net for the prism is net A.
Part B: AB = 3 in, BC = 5 in, CD = 9.4 in.
Part C: The surface area of the prism is 124.8 square inches.
What is triangular prism?
A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.
For the given situation,
The diagram shows the triangular Prism and the 2 nets for it.
Part A:
The correct net for the prism is net A. Net A suits the triangular Prism and it is fold-able along the net.
Part B:
The measurements of sides of the net are
[tex]AB, h=3in[/tex]
[tex]BC, S=5in[/tex]
[tex]CD,l =9.4in[/tex]
Part C:
Base of the triangular prism,b = 4 in
The three sides of the triangle is S1,S2,S3 = 3, 4, 5 inches.
The surface area of the prism is
[tex]A = bh+(s1+s2+s3) l[/tex]
On substituting the above values,
⇒ [tex]A = (4)(3)+(3+4+5) (9.4)[/tex]
⇒ [tex]A=12+(12)(9.4)[/tex]
⇒ [tex]A=12+112.8[/tex]
⇒ [tex]A=124.8[/tex]
Hence we can conclude that
Part A: The correct net for the prism is net A.
Part B: AB = 3 in, BC = 5 in, CD = 9.4 in.
Part C: The surface area of the prism is 124.8 square inches.
Learn more about triangular prism here
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