Question

Find the base length of a shipping box in the shape of a triangular prism the shipping box has a volume of 276 cubic feet a base height of 6.9 ft and a height of 10 ft

Answer 1

The volume is given by:
 V = A * H
 Where,
 A: area of the base
 H: prism height
 Clearing the area we have:
 A = V / H
 A = 276/10
 A = 27.6 feet ^ 2
 The area of the base is given by:
 A = (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 Clearing b we have:
 b = (2 * A) / (h)
 Substituting values:
 b = (2 * 27.6) / (6.9)
 b = 8 feet
 Answer:
 the base length is:
 b = 8 feet