Question

what is the surface area of this triangular prism? 15 ft. 12 ft. 15 ft. 18 ft. 5 ft. square feet submit work it out not feeling ready yet? these can help: area of triangles surface area of cu lesson: what is surface area?

Explanation:

Step1: Calculate area of triangular faces

The area of a triangle is $A = \frac{1}{2}bh$. For the triangular faces with $b = 18$ ft and $h=12$ ft, $A_{triangle}=\frac{1}{2}\times18\times12 = 108$ square - feet. Since there are 2 triangular faces, the total area of triangular faces is $2\times108 = 216$ square - feet.

Step2: Calculate area of three rectangular faces

For the first rectangular face with dimensions 15 ft and 5 ft, $A_1=15\times5 = 75$ square - feet.
For the second rectangular face with dimensions 15 ft and 5 ft, $A_2 = 15\times5=75$ square - feet.
For the third rectangular face with dimensions 18 ft and 5 ft, $A_3=18\times5 = 90$ square - feet.
The total area of rectangular faces is $A_{rectangles}=75 + 75+90=240$ square - feet.

Step3: Calculate total surface area

The surface area of the triangular prism is the sum of the area of the triangular faces and the area of the rectangular faces. $SA=216 + 240=456$ square - feet.

Answer:

456