Answer:
h = 16 unit
Step-by-step explanation:
The formular for the surface area of a triangular prism is given as,
A = ab+3bh............................ Equation 1
Where A = surface area of the triangular prism, a = height of the base triangle, b = base of the triangle, h = height of the box.
make h the subject of the equation
h = (A-ab)/3b........................ Equation 2
Given: A = 439.2, a = 6.9, b = 8
Substitute into equation 2
h = [439.2-(6.9*8)]/(3*8)
h = (439.2-55.2)/24
h = 16.
Hence the height of the box is 16 unit
