The formula is the length of the prism times the area of the trapezoid, which is one-half times (a+b) times the height; the area is also called the cross-sectional area. "A" and "B" are the two bases of the trapezoid. The bases are the sides that run parallel to one another, which means they never touch.
Know MoreThe student finds the area of the trapezoid first. If the smaller trapezoid base is 2 and the longer one is 4, she adds those two numbers together to get 6. Then she multiplies that number by the height of the trapezoid, 3, to get 18. Finally, she divides that by 2, which is the same as multiplying by 0.5, to get 9.
To find the volume of the prism, the student multiplies the area of the trapezoid by the length of the prism. If the length of the prism is 10, then she multiplies 9 times 10 to get 90. Therefore, the volume of the trapezoid is 90. The unit depends on the original units the trapezoidal prism was measured in. If it was measured in inches, the resulting unit would be cubic inches, as inches are multiplied by inches three separate times.
Learn more about ShapesTo determine the volume of an ellipsoid, the object's length must first be multiplied by its width and then by its height, followed by a final multiplication by a constant which is equal to the value of pi divided by 6. Using the 5-decimal-place value of pi, 3.14159, and dividing by 6, a value of 0.523598 is obtained for the constant and final multiplier. Thus, the volume of an ellipsoid with a length of 10 inches, width of 10 inches and height of 5 inches is determined by 10 x 10 x 5 x 0.523598, which equals 261.799 cubic inches.
Full Answer >The area of any trapezoid with base side lengths "b1" and "b2" and height "h" is given by the formula A = h(b1 + b2)/2. The base sides are the trapezoid's two parallel sides. The trapezoid's height is the length of a perpendicular line drawn between the two base sides.
Full Answer >The volume of a cone is found by multiplying the area of the circular base by the height of the cone, and then dividing the product by 3. The area of the base is found by taking the square of the radius and multiplying it by pi.
Full Answer >The volume of a hollow cylinder can be found by taking the area of the base and multiplying that by the height of the cylinder. The formula for the area of the base is pi times the radius of the base squared. A numerical approximation for pi is 3.14.
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