#Volume of a trapezoidal prism worksheet how to#

Since it has a lateral surface as well which is calculated as the sum of the areas of its lateral faces. What is the Formula to Calculate the Surface Area of Trapezoidal Prism?Īs the total surface area of a trapezoidal prism is the sum of the areas of its lateral faces and its two bases, thus, the formula to calculate the total surface area of the trapezoidal prism is (b1+b2)h + PH. The unit of the surface area of a trapezoidal prism is given in cm 2, m 2, ft, or cubits 2. As a trapezoidal prism has a curved surface as well, thus we can express its curved surface area as well as total surface area. The surface area of a trapezoidal prism refers to the amount of area occupied by the surface of a trapezoidal prism. Listed below are a few interesting topics related to the surface area of trapezoidal prism, take a look:įAQs on Trapezoidal Prism What is the Surface Area of a Trapezoidal Prism? The perimeter of the base is the sum of the lengths of the sides. Solution: Using the Pythagoras theorem, the slant height or the non-parallel side = √(16+1) = √17 = 4.123 ft Step 5: Put the values in the formula, 2B + Lateral Surface Area(PH), to get the total surface area of the hexagonal prism.Įxample: Determine the total surface area of the trapezoidal prism.Find the base area B by putting the above values in the formula, (b1+b2)h/2 Step 4: Identify b1 and b2 (lengths of the bases) of the trapezoid and h (height) of the trapezoid.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.

#Volume of a trapezoidal prism worksheet how to#

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. Derivation of Surface Area of Trapezoidal Prism