Question
A metal feeding trough is in the shape of a triangular prism with one of the faces missing. The base of the trough is an equilateral triangle with sides of length 3.5 feet and a height of 4 feet. If the trough is 15 feet long, how much metal was used to construct the trough?
66.5 ft
119 ft
171.5 ft
194 ft
66.5 ft
119 ft
171.5 ft
194 ft
Answers
It sounds like the end sections are a triangle mounted by a rectangle. If so, then the ends each have area
4 * 3.5 + 3.5^2/4 √3
the sides are
two rectangles each 3.5*15
two rectangles each 4*15
so add up all the areas
If I got the shape wrong, it's because an equilateral triangle of side 3.5 cannot have a height of 4.
4 * 3.5 + 3.5^2/4 √3
the sides are
two rectangles each 3.5*15
two rectangles each 4*15
so add up all the areas
If I got the shape wrong, it's because an equilateral triangle of side 3.5 cannot have a height of 4.