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Example 1įind the surface area of a closed box with base width 3 cm, base length 5 cm and height 4 cm. Both short faces are the same, so their total area is 2wh. A net of a prism is the figure obtained when cutting the prism. Talk students in 6th grade into repeatedly practicing these surface area of a rectangular prism handouts involving integers less than or equal to 20, so they grasp the concept beyond doubt. Now since it is composed of all rectangular faces, and the area of a rectangle is given by the product of its length and width, add up all the products of lengths and breadths to conjure up the surface area of a rectangular prism. Base is a rectangle, so its perimeter is P 2l +. The surface area of a rectangular prism is equal to the sum total of the surfaces areas of all its faces. You can use this formula for any rectangular prism, and you will always get the surface area. Add them all together to get the area of the whole shape: lw + lw + wh + wh + lh + lh. Now you've found the area of each of the six faces. Knowing the surface area and volume formula for a rectangular prism makes it much easier to tackle other geometric shapes. It is sometimes easier to see all the faces of a rectangular prism or cube if we look at its net. It doesnt matter if the prism is oblique or cuboid: all you need to do is remember the formula V l x w x h, and just plug the numbers in. The bases are the triangles at the front and back of the prism. The area of the right face is also 20 square inches. To find the surface area of a rectangular prism or a box, we first flatten it creating the net, and then work out the total surface area by adding the areas of the individual rectangles. 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. The surface area of a prism is the sum of the areas of its faces.