Step 3: Put the values in the formula, (a+b+c+d) × H or PH, to find the lateral surface area of the hexagonal prism.Step 2: Identify the length H of the prism.Add these 4 values in order to find the perimeter P. Step 1: Identify the four sides of the trapezium - a, b, c, and d, representing the widths of the four rectangles.Note that all measurements are of the same units. Here are the steps to calculate the surface area of a trapezoidal prism. How to Calculate the Surface Area of a Trapezoidal Prism? Thus, the total surface area of a trapezoidal prism is h(b+d)+l(a+b+c+d) square units. TSA of the trapezoidal prism = h (b + d) + l (a + b + c + d). Therefore, the total surface area of the trapezoidal prism (TSA) = 2 × h (b + d)/2 + (a × l)+(b × l) + (c × l) + (d × l) = h (b + d) + Substituting the values from equation (2) and equation (3) in the TSA formula, which is represented by equation (1): The lateral surface area of the trapezoidal prism (LSA) is the sum of the areas of each rectangular surface around the base that means, LSA = (a × l) + (b × l) + (c × l) + (d × l) - (3) Thus, the area of trapezoidal base = h (b + d)/2 - (2) We already know that the total surface area of the trapezoidal prism (TSA) = 2 × area of base + lateral surface area - (1)Īlso, the area of a trapezoid = height(base1 × base 2)/2. l is the length of the trapezoidal prism.h is the distance between the parallel sides.We know that the base of a prism is in the shape of a trapezoid. One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height.Derivation of Surface Area of Trapezoidal Prism What are the dimensions of the pool bottom? Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. The cube-shaped pool has 140 cubic meters of water. Determine the lengths of the sides of the parallelogram. The circumference of the parallelogram is 20 cm. In the parallelogram ABCD, the side AB is three times longer than the side BC. Determine the dimensions of the rectangle. The circumference of a small square is five times smaller than the circumference of the entire tile. The picture shows square tiles with a side of 10 dm, composed of four identical small rectangles and squares. It holds that two times the first is one greater than three-fifths of the second. Determine the size of its sides if its perimeter is 16 cm. The median of the isosceles triangle has a length of 3 cm. The isosceles trapezoid has an angle at a first base 40 degrees less than the angle at the second base. One side of a triangular banner is 1 1/2 times longer than the second side and 2cm shorter than the third side. One side is four times longer than the other and, at the same time, 1 cm longer than the third. The triangle has a circumference of 35 cm. Find the sizes of the sides of a triangle. Side a is two times shorter than side b, and side c is 2 cm longer than side a. What dimensions and area this rectangle has if its circumference is 104 cm? The length of the rectangle is 12 cm greater than three times its width. If each side of the rectangle increases by 10 m increases, the surface field is 1480 m². One dimension of the rectangular field is 56 m greater than the second dimension. Calculate the circumference of the trapezoid. One of its bases is two times longer than the other. The isosceles trapezoid ABCD has an area of 36 cm². Side b = d = 50 cm, c = 20 cm, height = 48 cm. In the isosceles trapezoid ABCD, calculate the missing side length "a" and its areas. What are the dimensions of the rectangle if its circumference is 96 cm? The length of one side of the rectangle is three times the length of the second side. Determine the rectangle's dimensions if you know that its perimeter is 22 cm. The length of the rectangle is 5 cm greater than its width. Determine the dimensions of its bottom if the water depth is 282 cm and one bottom dimension is 4.7 m greater than the second. The pool shape of a cuboid is 299 m³, full of water. We encourage you to watch this tutorial video on this math problem: video1 Related math problems and questions:
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