Final answer:
To find the area of all the faces of a trapezoidal prism stage, excluding the bottom, calculate the area of the trapezoidal faces using the formula for the trapezoid, then calculate the area of the rectangular sides and top, and sum all these areas.
Step-by-step explanation:
To calculate the area of all the faces of the trapezoidal prism stage, excluding the bottom, first identify the different faces: two trapezoidal faces (front and back), two rectangular sides, and the top. The two trapezoids and the rectangle will depend on the specific dimensions given, while the top is simply the area of the rectangle formed by the length and width of the stage.
To find the area of a trapezoid, use the formula A = (1/2)×(b1 + b2)×h, where b1 and b2 are the bases and h is the height. For the rectangles, the area is length × height. Sum the areas of these faces to get the total area of the stage, excluding the bottom.
As no specific dimensions for the trapezoidal prism stage were provided in the question, we cannot compute an exact numerical answer. If the dimensions are provided, simply apply the formulas mentioned above to find the area of each face and sum them up to reach the final value.