Question

What is the surface area of the prism in square inches? 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. 300 square inches 360 square inches 390 square inches 460 square inches

Answer 1

Answer:

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 :

⇒ Area = length(width)Area=length(width)

⇒ Area =12(10)Area=12(10)

⇒ Area =120Area=120

A rectangle has base of 10 and height of 13

⇒ Area = length(width)Area=length(width)

⇒ Area =13(10)Area=13(10)

⇒ Area =130Area=130

A rectangle has base of 10 and height of 5

⇒ Area = length(width)Area=length(width)

⇒ Area =5(10)Area=5(10)

⇒ Area =50Area=50

2 triangles have a base of 12 inches and height of 5 inches.

⇒ Area = \frac{1}{2}base(height)(2)Area=

2

1

base(height)(2)

⇒ Area =12(5)Area=12(5)

⇒ Area =60Area=60

Hence , Total Area :

⇒ 120+130+50+60120+130+50+60

⇒ 360in^2360in

2