Question

find the surface area of this triangular prism. be sure to include the correct unit in your answer. 25 yd 20 yd 15 yd 18 yd

Explanation:

Step1: Calculate area of triangular faces

The triangular face has base $b = 15$ yd and height $h=20$ yd. Area of a triangle $A_{triangle}=\frac{1}{2}bh$. So $A_{triangle}=\frac{1}{2}\times15\times20 = 150$ yd². Since there are 2 triangular faces, total area of triangular faces $A_{t - total}=2\times150 = 300$ yd².

Step2: Calculate area of first rectangular face

The first rectangular face has dimensions 18 yd (length) and 15 yd (width). Area $A_1 = 18\times15=270$ yd².

Step3: Calculate area of second rectangular face

The second rectangular face has dimensions 18 yd (length) and 20 yd (width). Area $A_2 = 18\times20 = 360$ yd².

Step4: Calculate area of third rectangular face

The third rectangular face has dimensions 18 yd (length) and 25 yd (width). Area $A_3 = 18\times25=450$ yd².

Step5: Calculate total surface - area

Total surface area $A = A_{t - total}+A_1+A_2+A_3=300 + 270+360+450=1380$ yd².

Answer:

1380 yd²