Lastly, let’s find the volume by substituting the given figures into the formula for volume and multiplying them. Therefore, the surface area of the rectangular prism is 206cm². Plug the figures into the surface area formula and perform the needed operations. We’ll start by finding the surface area first. Therefore, the volume of the rectangular prism is 61.25cm3.Įxample #1: Finding SA & V of a Rectangular Prism when given Length, Width, and Heightįind the surface area and volume of the rectangular prism with the following measurements: Plug the figures into the formula for volume and solve. Solve for Volume:įind the volume of a rectangular prism with the following measurements: Note: Remember that all measurement units should be the same before you compute the volume. If the volume refers to the prism’s capacity, it can also be expressed in liters (L) or milliliters (mL).
Volumes are expressed in cubic units such as m3, km3, and cm3. The volume of a rectangular prism also tells its capacity – or the amount of space inside an object that can be filled. Where l = length of the prism w = width of the prism and h = height of the prism. Use this formula to find the volume of a rectangular prism: The volume of a rectangular prism is the total amount of space it takes up, and can be defined as the product of its length, width, and height.
#Surface area of a rectangular prism formula how to#
How to Find the Volume of a Rectangular Prism: Therefore, the surface area of the rectangular prism is 112cm². Plug the figures into the formula for surface area and solve. Make sure all units are the same before you compute the surface area.įind the surface area of a rectangular prism with the following measurements: Note: Surface areas are expressed in cubic units such as in2, cm2, km2, m2. Where: l = length of the prism w = width of the prism and h = height of the prism. Use one of these formulas to find the surface area of a rectangular prism: Related Reading: Area of a Rectangle – Formula & Examples Recall that the area of a rectangle is the product of its length and width: A = l The total surface area of a rectangular prism is the sum of all the areas of its six rectangular sides. How to Find the Surface Area of a Rectangular Prism: Examples of objects shaped like a rectangular prism are shoe boxes, books, buildings, and cabinets. It has a length, width, and height that make up 3 pairs of equal rectangular faces: top-bottom, left-right, and front-back. A cube is a prism, but unlike a cube that has 6 equal square faces, a rectangular prism has six rectangular faces and 12 edges. Prisms are three-dimensional objects with two equal bases or ends, flat surfaces or sides, and the same cross-section along its length. Here is how the Total Surface Area of Rectangular Prism calculation can be explained with given input values -> 700 = 2*((10*8)+(10*15)+(8*15)).4.1 Solution for Example #3: What is a Rectangular Prism? How to calculate Total Surface Area of Rectangular Prism using this online calculator? To use this online calculator for Total Surface Area of Rectangular Prism, enter Base Length of Rectangular Prism (l Base), Base Width of Rectangular Prism (w Base) & Height of Rectangular Prism (h) and hit the calculate button. Total Surface Area of Rectangular Prism is denoted by TSA symbol. Total Surface Area of Rectangular Prism calculator uses Total Surface Area of Rectangular Prism = 2*(( Base Length of Rectangular Prism* Base Width of Rectangular Prism)+( Base Length of Rectangular Prism* Height of Rectangular Prism)+( Base Width of Rectangular Prism* Height of Rectangular Prism)) to calculate the Total Surface Area of Rectangular Prism, The Total Surface Area of Rectangular Prism formula is defined as the total amount of two-dimensional space occupied by all the faces of the Rectangular Prism.
How to Calculate Total Surface Area of Rectangular Prism?
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