The surface area of a rectangular prism is the sum of the areas of each side, and the volume of a rectangular prism is its length times width times height. Once you understand that a rectangular prism includes some sets of identical shapes, it's much easier to find its surface area and volume. Rectangular Prism Volume and Surface Area With volume, your answer should be in terms of units squared. Let's use this formula to determine the volume of this prism, which must be expressed in cubic centimeters (cm³): So to get the final volume, you must multiply the height of the rectangular prism by the area of the base. The area of the base is the length times the width. Volume is the amount of space that a three-dimensional figure takes up. Surface area of a prism how to#Now that we know how to find the surface area, let's move on to finding the volume of the rectangular prism. If you need a refresher about the order of these calculations, remember the order of operations through the acronym PEMDAS ( here’s how this works).įor surface area, always keep your answer in square units. Let's use this formula to find the surface area of the rectangular prism below: Here is the formula for the surface area of a prism: The surface area of a rectangle in prism form is the sum of the areas of all six shapes. The length, width, and height of a rectangular prism are made by six separate shapes that, when put together, creates a three-dimensional figure. Let's review the surface area of a rectangle. Rule 1: The lateral area of the prism is equal to the perimeter of the base times. How to Find the Surface Area of a Rectangular Prism The lateral surface area of a prism is the total of the area of the faces. Let's learn how to find the surface area and volume of a rectangular prism. Other examples of prisms include triangular prisms, square prisms, and polygon prisms: If the prism is 10cm long find the total area of the prism.īase is an equilateral triangle with 3cm.How do you determine rectangular prism volume and surface area? Let's start by defining what this shape is.Ī rectangular prism is a three-dimensional shape with two identical rectangular faces and one identical square face:
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