Correct option B) 360 square inches .
Step-by-step explanation:
Here we have , A prism is made up of 3 rectangles and 2 triangles. A rectangle has base of 12 and height of 10. A rectangle has base of 10 and height of 13. A rectangle has base of 10 and height of 5. 2 triangles have a base of 12 inches and height of 5 inches. We need to find What is the surface area of the prism in square inches . Let's find out:
3 rectangles and 2 triangles
A rectangle has base of 12 and height of 10 :
⇒ [tex]Area = length(width)[/tex]
⇒ [tex]Area =12(10)[/tex]
⇒ [tex]Area =120[/tex]
A rectangle has base of 10 and height of 13
⇒ [tex]Area = length(width)[/tex]
⇒ [tex]Area =13(10)[/tex]
⇒ [tex]Area =130[/tex]
A rectangle has base of 10 and height of 5
⇒ [tex]Area = length(width)[/tex]
⇒ [tex]Area =5(10)[/tex]
⇒ [tex]Area =50[/tex]
2 triangles have a base of 12 inches and height of 5 inches.
⇒ [tex]Area = \frac{1}{2}base(height)(2)[/tex]
⇒ [tex]Area =12(5)[/tex]
⇒ [tex]Area =60[/tex]
Hence , Total Area :
⇒ [tex]120+130+50+60[/tex]
⇒ [tex]360in^2[/tex]
Correct option B) 360 square inches .
