You will be using proportions to solve this. The first proportion will be 8/2.4 = 15/x Here the ratio given will be in the numerator and the meters of the actual wires will be in the denominator. This proportion will help you find the longest wire's length. To continue, do cross multiplication: 8x=36 Then divide by 8: x= 4.5, OR the longest wire has a length of 4.5m. To find the middle-length wire, the proportion will almost be the same but now the 15 will be replaced by 10. 8/2.4 = 10/x Then the same steps 8x= 24 x= 3, OR the middle-length wire has a length of 3m.
In conclusion, the corresponding ratio to 10:15:8 would be 3:4.5:2.4
You can solve the surface area of a triangular prism using these formulas:
Where: AB = Area of the triangle a = side of triangular base b = side of triangular base c = side of triangular base h = height
Take note that there the height of the triangular face is not given. So you will need an alternate formula for the area. Since the sides are given you use Heron's formula.
S is not given, so you can solve this by adding all the sides of the triangular base and dividing it by two.
a = 3yd b = 5yd c= 4yd
Now that we have s, we can insert that into the formula for the area of the triangular face:
Now that we have the area of the triangle, we can solve now for the surface area of the triangular prism: