Question

(05.06)Use a net to find the surface area of the right triangular prism shown below:

Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.

1. 88 square feet
2. 232 square feet
3. 283 square feet
4. 300 square feet

Answer 1

$A=308\ ft^2$ is the total surface area of the prism.

Step-by-step explanation:

Since given diagram show the opened view of the surface area of a prism with the two right angled triangle faces and a base and two inclined sides. having the length of 13 feet each due to its symmetry and width as 8 feet as shown.

From the given figure a prism of right angled triangle can be obtained when we fold form the dotted lines.

So the total surface area:

$A=2\times (8\times 13)+(8\times 5)+2\times (\frac{1}{2}\times 5\times 12 )$

$A=308\ ft^2$

#learnmore

TOPIC: geometry of prism

https://brainly.in/question/2670914