![]() Thus, the volume of a rectangular prism can be calculated by multiplying its base area by its height. The volume of a rectangular prism is the capacity that it can hold or the space occupied by it. Step 3: The volume of the given rectangular prism = base area × height of the prism = 90 × 8 = 720 cubic inches.įAQs on Volume of Rectangular Prism What is the Volume of a Rectangular Prism?.Step 2: The height of the prism is 8 in.Step 1: The base area is already given as 90 square inches.Solution: We can calculate the volume of the rectangular prism using the following steps: ![]() Volume = base area × height of the prismĮxample: Calculate the volume of a rectangular prism whose height is 8 in and whose base area is 90 square inches. 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. appreciate the value of being able to solve problems involving volumes of cubes and rectangular prisms.īut before going any further, let us check first your prior knowledge about the lesson.The formula for the volume of a rectangular prism = base area × height of the prism.solve routine and non-routine problems involving volume of a cube and a rectangular prism in real-life situations using appropriate strategies and tools, and.So, are you excited to learn? Ok! Let’s start.Īfter finishing this module, you are expected to be able to: Knowing how to derive and use the formula properly in real-life situations is important, especially that we are surrounded every day by objects that have volumes. Formulas may serve as guides in solving for the volume of a cube and a rectangular prism. What’s Up, Mathgagaling? This module was made for you to learn on how to solve routine and non-routine problems involving volume of a cube and a rectangular prism in real-life situations using appropriate strategies and tools. And read the instructions carefully before performing each task. Use a separate sheet of paper in answering the exercises and tests. Do not put unnecessary marks on any part of this SLM. ![]() ![]() We trust that you will be honest in using these. ![]() Answer keys are provided for each activity and test. At the end of each module, you need to answer the post-test to self-check your learning. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. Pre-tests are provided to measure your prior knowledge on lessons in each SLM. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.Įach SLM is composed of different parts. This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. ![]()
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