The surface area of the given right angled triangular prism is 60 square centimeters ([tex]cm^{2}[/tex]).
Step-by-step explanation:
The given is,
Right angled triangular prism
Step:1
Surface area of triangular prism,
[tex]Surface area of prism = Sum of area of each sides[/tex].........(1)
Step:2
Area of Triangular face,
[tex]= \frac{1}{2}(base)(height)[/tex]
[tex]= \frac{1}{2} (3)(4)[/tex]
[tex]=\frac{1}{2} (12)[/tex]
[tex]= 6 cm^{2}[/tex]
In right angled triangular have two triangular faces,
[tex]= (2)(6)[/tex]
[tex]=12 cm^{2}[/tex]
Step:3
Area of sloping rectangular face,
[tex]=lb[/tex]
[tex]=(4)(5)[/tex]
[tex]=20 cm^{2}[/tex]
Step:4
Area of back side [tex]=(4)(3)[/tex]
[tex]=12cm^{2}[/tex]
Step:5
Area of bottom side [tex]=(4)(4)[/tex]
[tex]=16cm^{2}[/tex]
From the equation (1),
[tex]=12+20+12+16[/tex]
[tex]= 60cm^{2}[/tex]
Result:
The surface area of the given right angled triangular prism is 60 square centimeters ([tex]cm^{2}[/tex]).
