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

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