![]() ![]() ![]() Step 3: Multiply the base area and the height of the prism to get the volume of the rectangular prism in cubic units.Step 2: Identify the height of the prism, which is perpendicular from the top vertex to the base of the prism.Step 1: Identify the type of the base and find its area using a suitable formula (as explained in the previous section).The following steps are used to calculate the volume of a rectangular prism. How to Find the Volume of a Rectangular Prism?īefore calculating the volume of a rectangular prism using the formula, we need to make sure that all the dimensions are of the same units. It should be noted that we can apply the same formula to calculate the volume of the prism, that is the rectangular prism volume formula, v = lwh, irrespective of the type of rectangular prism. Thus, the perpendicular drawn from the vertex of one base to the other base of the prism will be taken as its height. In the case of an oblique rectangular prism, the bases are not perpendicular to the other faces.In the case of a right rectangular prism, the bases are perpendicular to the other faces.There are two types of rectangular prisms - right rectangular prisms and oblique prisms. It should be noted that the volume is measured in cubic units. To find the volume of the rectangular prism, we multiply the length, width, and height, that is the area of the base is multiplied by the height. Therefore, the formula for the volume of a rectangular prism is, volume of a rectangular prism (V) = l × w × h, where Therefore, another way to express this formula is by multiplying the length, width, and height of the prism and write the value in cubic units (cm 3, m 3, in 3, etc). This area is then multiplied by the height of the prism to get the volume of the prism. Since the base of a rectangular prism is a rectangle, its area will be l × w. It works for right prisms and oblique prisms.The formula for the volume of a rectangular prism = base area × height of the prism. If you had an oblique prism, as long as you know the height, and you can calculate its base area, that will be the same. So this way, this formula volume, equals base area times height, can be applied to any kind of prism. If you had, let's say, a regular hexagon, you're going to use apothem times side length times the number of sides, divided by two. ![]() And that's how you would calculate your base area. So if this was a trapezoid, then you would substitute in B1 plus B2 times H, all divided by two. So whatever your base area is, and I guess I should write base area, you're going to substitute in that formula. ![]() This formula will work no matter what kind of prism you have. So the reason why this formula is useful is because you might have a triangular prism, a trapezoidal prism, a hexagonal prism. Where capital B is your base area and capital H is the height of the prism. So when I write my volume formula, I'm going to say the volume, "V" of this prism, is equal to its base area times its capital H, its height. So I'm going to shade in our bottom base here, and I'm going to label this as capital B. If you want to calculate the volume of any prism, there is only two things that you need to know: One, what is the height of that prism, and two what is the area of one of your bases. ![]()
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