Answer:
3 + 3 + 12 + 8 + 8
Step-by-step explanation:
We have:
two triangles with base b = 6 and height h = 1
two rectangles with length l = 4 and width w = 2
one reactangel with length l = 6 and width w = 2.
The formula of an area of a triangle:
[tex]A_T=\dfrac{bh}{2}[/tex]
Substitute:
[tex]A_T=\dfrac{(6)(1)}{2}=3[/tex]
The formula of an area of a rectangle:
[tex]A_R=lw[/tex]
Substitute:
[tex]A_{R_1}=(4)(2)=8\\\\A_{R_2}=(6)(2)=12[/tex]
The surface area of the prism:
[tex]S.A.=A_T+A_T+A_{R_1}+A_{R_1}+A_{R_2}[/tex]
[tex]S.A.=3+3+8+8+12[/tex]
