If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V (L, B, A, H) LH (A + B)/2.

V = pi x (d^2)/4 x h V = 3.14 x (90^2)/4 x 110 V = 0. Formula for Volume of a Trapezoidal Prism. V = pi x r2 x h V = 3.14 x 45cm^2 x 110cm V = 7.0 x 10^5 cm3 or 0.7m3 (This tells me the answer is actually in m3 not cm3) Since we know the relationship of radius to diameter we can substitute diameter into the volume formula and we could use all the number directly from the question. The answer is in cubic cm, so we will transform h to cm, h = 110 cm. The formula asks for radius so divide by 2, therefore r = 45cm. How do you calculate the volume of a trapezoid prism Answer Videos0/1 completed Exercise 2 part c-Volume of a solid bounded by the surfaces y2/x, y2x, z. Therefore, in order to find the volume of a trapezoidal prism, we need to first find the area of one trapezoid. The area is calculated as the surface area of one of the trapezoids by the distance between the two trapezoids. Volume of cube = l x w x h = 9cm x 4cm x 3cm = 108cm3 Volume of prism = 1/2(l x w x h) = 1/2((7cm - 4cm) x 9cm x 3cm = 40.5cm3 Sum both volumes = 108cm3 + 40.5cm3 = 148.5cm3 Cylinder Problem Volume of a cylinder = pi x r2 x h In the picture the diameter is 90 cm (what you refer to as constant are of cross section), this is really the longest length across the top of the cylinder. To find the volume of a trapezoidal prism, we need to multiply the area of the base by the height. Trapezoidal Prism Problem Split the shape into two parts (1 cube with dimensions of 3cm x 9cm x 4cm and one prism with dimensions of 3cm x 3cm x 9cm).

Volume of a trapezoid based prism