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: 360

Step-by-step explanation: I took the quiz

Answer 2

Correct option B) 360 square inches .

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 =12(10)`

⇒
`Area =120`

A rectangle has base of 10 and height of 13

⇒
`Area = length(width)`

⇒
`Area =13(10)`

⇒
`Area =130`

A rectangle has base of 10 and height of 5

⇒
`Area = length(width)`

⇒
`Area =5(10)`

⇒
`Area =50`

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

⇒
`Area = (1)/(2)base(height)(2)`

⇒
`Area =12(5)`

⇒
`Area =60`

Hence , Total Area :

⇒
`120+130+50+60`

⇒
`360in^2`

Correct option B) 360 square inches .