Question

Find the surface area of the prism​

Answer 1

Answer:

156 $in^2$

Step-by-step explanation:

find the areas of all the faces and add them up

area of a rectangle: $bh$

area of a trapezoid: $\frac{1}{2} (b_1 + b_2)(h)$

$(5*3)+(6*3)+(5*3)+(3*12)+2(\frac{1}{2}*(6+12)*4) \\=15+18+15+36+2(\frac{1}{2}*18*4)\\=84+2(36)\\=156$

the area of the trapezoid is multiplied by 2 because there's a top and bottom