A right triangular prism has lateral area 120cm squared,if the base edged are 4 cm,5cm,6cm long,?

The lateral area of a triangle prism is given by the area of the 3 rectangles extending from the triangle, which in this case has the sides of length 4,5, and 6 cm. So the equation for lateral area is given by 4x+5x+6x=120cm^2, where x is the height of the rectangles, or the height of the prism. Using algebra skills, we can solve the above equation. We get 15x=120, so x=8cm