what's the surface area of a right trapezoidal prism
Each lateral face is a rectangle. The trapezoid has four sides, possibly all different, so you have four rectangles.
Then add the areas of the two trapezoidal bases.
To find the surface area of a right trapezoidal prism, you need to calculate the areas of each of its faces and then sum them up. Here's how you can do it step-by-step:
1. Identify the faces of the prism: A right trapezoidal prism has six faces - two trapezoidal bases and four rectangular lateral faces.
2. Calculate the area of the trapezoidal bases: The trapezoidal bases can be divided into two parts - a rectangle and a trapezoid. Find the area of each part separately and then add them up. The area of a rectangle is given by the formula length × width, while the area of a trapezoid is given by the formula 0.5 × (sum of parallel sides) × height.
3. Calculate the area of the lateral faces: Each lateral face of the prism is a rectangle. To find the area of a rectangle, multiply its length by its width.
4. Sum up the areas of all the faces: Add the areas of the trapezoidal bases and the lateral rectangular faces together to find the total surface area of the right trapezoidal prism.
By following these steps, you will be able to find the surface area of a right trapezoidal prism.