Question

What is the surface area of the prism?



A.
82 yd2

B.
90 yd2

C.
96 yd2

D.
108 yd2

Answer 1

\[\huge{\color{purple}{\textbf{W}} \color{orange}{\cal{E}} \color{green}{\mathbb{L}} \color{blue}{\mathsf{C}} \color{maroon}{\rm{O}} \color{red}{\tt{M}} \color{gold}{\tt{E}} \space \color{orchid}{\mathbf{T}} \color{Navy}{\mathsf{O}} \space \color{OrangeRed}{\boldsymbol{O}} \color{Olive}{\mathbf{P}} \color{Lime}{\textbf{E}} \color{DarkOrchid}{\mathsf{N}} \color{Tan}{\mathtt{S}} \color{magenta}{\mathbb{T}} \color{goldenrod}{\mathsf{U}} \color{ForestGreen}{\textbf{D}} \color{Salmon}{\mathsf{Y}} \ddot \smile }\]
@Vicky-toria

Answer 2

Thank you~! <3

Answer 3

do you know the formula @Vicky-toria

Answer 4

look at the picture there are two triangles that are the same this is your base if you take the front triangle and extude it to the back triangle you have the prism. The equation for the area of a prism then becomes A = 2*b + p*h where b is the base area, p is the perimeter of the base and h is the length extruded or the distance from the front triangle to the back.

Answer 5

How do i plot all those numbers in?? sorry if i sound dumb

Answer 6

so the area of a right triangle is a*b/2 which for the 4*3/2 that gives you the base area. There are two of these triangles so you need to multiply that answer by 2 -> 2*(4*3/2) which equals 4*3 = 12 (the 2 cancel each other out)) so now you have the area of the two triangles but are missing the area in between. You need the perimeter of one of the triangles now which is just all the sides added together in this case you have : 5+3+4 which = 12. You now take the perimeter and multiply it by the length from one triangle to the other which is 7 so you have 12*7 = 84. you now add the first value and this one together to get your final area. 12+84 = 96 yd^2

Answer 7

were you able to follow that?

Answer 8

Yes i was! Thank you so much, it really helped:)