You have a sheet of gift wrap that is 0.75 m × 0.5 m. Though that sounds like a lot of gift wrap, it is only 0.27 m 2. Let's build our equation for surface area of a rectangular prism starting with our formula: Use the area formula to find out the minimum amount of gift wrap you will need. (Do you know how many books are in the box? 😊) The box contains 100 books of math jokes, so it is a good-sized rectangular prism. You have been asked to wrap a gift box your mathematics club will give to your math club adviser.
#AREA FORMULA RECTANGLE HOW TO#
How To Find The Surface Area Of A Rectangular Prism If you have trouble remembering that special formula, you can always use the general one for rectangular prisms. Any two measurements will give the area of one face, and the cube has six faces, so the area is 6 a 2. This works because every dimension of a cube - width, height, and length - is the same. We can simplify that by factoring out the 2: We can use common abbreviations for width ( w), length ( l) and height ( h) and recast the formula: You must know the width, length and height of the prism before you can apply this formula:Ī = 2 ( w i d t h × l e n g t h ) + 2 ( l e n g t h × h e i g h t ) + 2 ( h e i g h t × w i d t h ) Surface Area Of A Rectangular Prism Formulaįinding surface area for all rectangular prisms (including cubes) involves both addition and multiplication. When you have a cube, finding the area of one face allows you to find the total surface area of the solid very quickly, since it will be six times the area of one face. The surface area of a rectangular prism is the total area of all six faces. What Is The Surface Area Of A Rectangular Prism? Opposite faces are congruent.Ī special type of rectangular prism is a cube, in which all six faces are congruent. All six faces meet at right angles to one another.
Surface Area Of A Rectangular Prism What Is A Rectangular Prism?Ī rectangular prism is a six-faced, three-dimensional solid in which all the faces are rectangles.
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