find the surface area of the prism. the surface area is

Explanation:

Step1: Find area of triangular bases

The base is a right - triangle with legs 5 yd and 12 yd. Area of a triangle $A=\frac{1}{2}bh$, so $A_{base}=\frac{1}{2}\times5\times12 = 30$ square yards. There are 2 bases, so total base area $A_{bases}=2\times30 = 60$ square yards.

Step2: Find area of first rectangular face

One rectangular face has dimensions 13 yd (length) and 5 yd (width). Area $A_1 = 13\times5=65$ square yards.

Step3: Find area of second rectangular face

Another rectangular face has dimensions 13 yd (length) and 12 yd (width). Area $A_2=13\times12 = 156$ square yards.

Step4: Find area of third rectangular face

The third rectangular face has dimensions 13 yd (length) and 7 yd (width). Area $A_3=13\times7 = 91$ square yards.

Step5: Calculate total surface area

Total surface area $A = A_{bases}+A_1 + A_2+A_3=60 + 65+156+91=372$ square yards.

Answer:

372 square yards