![]() Identify its height / length of the prism (the vertical distance between two bases). V = pi x (d^2)/4 x h V = 3.14 x (90^2)/4 x 110 V = 0. Solution: A prism is a solid object which has identical ends, flat faces, and the same cross-section all along its length. Identify the parallel sides of the base (trapezoid) to be b1 b 1 and b2 b 2 and the perpendicular distance between them to be h h and find the area of the trapezoid using the formula: Area of the trapezoid 1 2(b1 +b2) × h 1 2 ( b 1 + b 2) × h. ![]() 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. Thus, The area of the base ( area of trapezoid) 1 2(b1 +b2)×h 1 2 ( b 1 + b 2) × h. 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. We know that the base of a trapezoidal prism is a trapezium/ trapezoid. 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).
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