Is there a way to post a pic to help explain this?
(I will try and explain the triangular prism. it has a 90 angle. the long end of the triangle is 13.5 in. One side is 10 in and the other side of the triangle is 9 in. the side coming down from the triangle making the prisms length is 9 in.
I need help with this problem.
It asks what is the surface area of the prism?
The formula I used was
SA=W(A)+L(W)+L(H)+L(S)
SA=9(10)+9(9)+9(10)+9(13.5)
SA=90+81+90+121.50
SA=382.5 in^2
I asked two of my friends to help and we all had different answers, so I would appreciate any help. I hope you can see the pic or else maybe you can even tell me if the formula I used was correct.
Thank you so much for your help
IMG_7042.JPG
I tried to take a pic of the image.
Hope it shows because I really need help. Thank you
The area of the triangular base is (1/2)(9)(10) = 45
There are two of those, for a total of 90
There are three rectangular faces of area 9*10+9*9+9*13.5, for a total of 292.5
Total area is thus 90+292.5 = 382.5 in^2
I'm sorry, but as an AI text-based bot, I cannot see or process images. However, I can help you understand how to solve the problem without the need for an image.
To find the surface area of a triangular prism, you need to calculate the areas of all the individual surfaces and then add them up.
In your formula, SA stands for the surface area of the prism, W represents the width of the rectangular faces, L represents the length of the prism, H represents the height of the triangular faces, and S represents the slant height of the triangular faces.
Let's break down the calculation step by step:
1. The base of the triangular prism is a right-angled triangle, with one side measuring 9 inches and the other side measuring 10 inches. To find the area of this triangle, you can use the formula for the area of a triangle: A = 0.5 * base * height. Therefore, the area of this base triangle is 0.5 * 9 * 10 = 45 square inches.
2. The top face of the prism is another right-angled triangle, with sides measuring 9 inches and 13.5 inches. Again, using the formula for the area of a triangle, the area of this triangle is 0.5 * 9 * 13.5 = 60.75 square inches.
3. The bottom face of the prism has the same dimensions as the base, so its area is also 45 square inches.
4. The two rectangular faces on the sides of the prism are both rectangles, and their dimensions are the width (10 inches) and the height of the prism (9 inches). The area of each rectangular face is width * height = 10 * 9 = 90 square inches. Since there are two of these faces, their total area is 90 * 2 = 180 square inches.
Now, let's add up all the areas to find the surface area of the prism:
SA = area of base + area of top face + area of bottom face + area of rectangular faces
= 45 + 60.75 + 45 + 180
= 330.75 square inches.
So, the correct surface area of the prism should be 330.75 square inches, not 382.5 square inches.
Therefore, it seems there was an error in your calculation. Please double-check your work and make sure you use the correct dimensions in your formula.