Question

what is the surface area of this triangular prism? 12 ft. 13 ft. 25 ft. 5 ft. square feet

Explanation:

Step1: Calculate area of triangular faces

The triangular faces have base $b = 5$ ft and height $h=12$ ft. Area of a triangle $A_{triangle}=\frac{1}{2}bh$. So $A_{triangle}=\frac{1}{2}\times5\times12 = 30$ square - feet. There are 2 triangular faces, so total area of triangular faces $A_{t - total}=2\times30 = 60$ square - feet.

Step2: Calculate area of first rectangular face

One rectangular face has dimensions $l = 25$ ft and $w = 5$ ft. Area $A_{1}=25\times5=125$ square - feet.

Step3: Calculate area of second rectangular face

Another rectangular face has dimensions $l = 25$ ft and $w = 12$ ft. Area $A_{2}=25\times12 = 300$ square - feet.

Step4: Calculate area of third rectangular face

The third rectangular face has dimensions $l = 25$ ft and $w = 13$ ft. Area $A_{3}=25\times13 = 325$ square - feet.

Step5: Calculate total surface area

Total surface area $A = A_{t - total}+A_{1}+A_{2}+A_{3}=60 + 125+300+325=810$ square - feet.

Answer:

810