Given:
The base of the triangle = 6 ft
The height of the triangle = 5 ft
The other two side of the triangle = 5.5 ft and 5.5 ft
The height of the prism = 9 ft
To find the measurement of the fabric to make the tent.
We need to find the surface area of the triangular prism.
Formula
The surface area of the triangular prism is
[tex]SA = bh+(a+b+c)H[/tex]
where, b be the base of the triangle
h be the height of the triangle
a and c be other two sides of the triangle
H be the height of the prism
Now,
Putting,
b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,
[tex]SA = (5)(6)+(6+5.5+5.5)(9)[/tex] sq ft
or, [tex]SA = 30+153[/tex] sq ft
or, [tex]SA = 183[/tex] sq ft
Hence,
Based on the given dimension 183 sq ft fabric is needed to make the tent.
