find the surface area of the prism:
L 11m W 6mm H 3m
a)48m 3
b)346m 3
c)780m 2rd
d)195m 2rd
I THINK 346m SQUARED
As = 2(W*h) + 2(L*h) + 2(L*W).
As = 2(6*3) + 2(11*3) + 2(11*6) = 234 m^2.
Does W = 6mm or 6 m ?.
To find the surface area of a prism, you need to calculate the sum of the areas of all its faces.
In this case, the prism has rectangular faces, so you can calculate the area of each face separately and then add them up.
The prism has three pairs of congruent rectangular faces:
1. The top and bottom faces: The top face has length 11m and width 6mm, so its area is 11m * 6mm = 66m². The bottom face has the same dimensions, so its area is also 66m². Therefore, the combined area of the top and bottom faces is 66m² + 66m² = 132m².
2. The two side faces: Each side face has length 6mm and height 3m. The area of each side face is 6mm * 3m = 18m². Since there are two side faces, their combined area is 18m² + 18m² = 36m².
3. The two front and back faces: Each front and back face has length 11m and height 3m. The area of each front and back face is 11m * 3m = 33m². Since there are two front and back faces, their combined area is 33m² + 33m² = 66m².
Now, let's calculate the total surface area by adding up all the areas:
132m² (top and bottom faces) + 36m² (side faces) + 66m² (front and back faces) = 234m².
Therefore, the correct answer is not given in the options provided. The correct surface area of the prism is 234m².