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. 88 square feet 232 square feet 283 square feet 300 square feet

The answer is 300

Step-by-step explanation:

The triangle formula = ( B · H) ÷ 2

B = 5     H = 12     5 · 12 = 60 ÷ 2 = 30

Since there is two triangles you will have two 30's.

The rectangle farthest to the right = 13 · 8 = 104

If you unfold the triangle it will line up perfectly with the 3 rectangles, so...

The middle rectangle = 5 · 8 = 40

The rectangle farthest to the right = 12×8 = 96

Add them all up

30 + 30 + 104 + 40 + 96 = 300

Hope this helped!

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=2×(8×13)+(8×5)+2×(

2

1

×5×12)

A=308\ ft^2A=308 ft

2

Step-by-step explanation:

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