Question

Find the surface area of each. Show your work​

Answer 1

The surface area of the given right angled triangular prism is 60 square centimeters (
`cm^(2)`).

Explanation:

The given is,

Right angled triangular prism

Step:1

Surface area of triangular prism,

`Surface area of prism = Sum of area of each sides`.........(1)

Step:2

Area of Triangular face,

`= (1)/(2)(base)(height)`

`= (1)/(2) (3)(4)`

`=(1)/(2) (12)`

`= 6 cm^(2)`

In right angled triangular have two triangular faces,

`= (2)(6)`

`=12 cm^(2)`

Step:3

Area of sloping rectangular face,

`=lb`

`=(4)(5)`

`=20 cm^(2)`

Step:4

Area of back side
`=(4)(3)`

`=12cm^(2)`

Step:5

Area of bottom side
`=(4)(4)`

`=16cm^(2)`

From the equation (1),

`=12+20+12+16`

`= 60cm^(2)`

Result:

The surface area of the given right angled triangular prism is 60 square centimeters (
`cm^(2)`).