What Is The Area Of A Rectangular Prism

Looking at the rectangular prism template it is easy to see that the solid has six sides and each side is a rectangle.

If we combine all the terms that are the same we get. Surface area 2 width x length length x height width x height volume of a rectangular prism is simply obtained by multiplying all three dimensions length height and width. Because a rectangular prism has six rectangular faces or sides its surface area is just the sum of the six faces and because each face has an identical opposite you can calculate the surface area with the formula 2 length width 2 width height 2 height length where length width and height are the prism s three dimensions. A rectangular prism with all sides equal is called a cube.

Surface area sa lateral surface area 2 base area therefore the surface area of a rectangular prism formula is given as area of a rectangular prism 2 lh wh lw square units. Step by step procedure to finding surface area of a rectangular prism. S 2 lw lh wh space diagonal of rectangular prism. What is the surface area of a rectangular prism.

Area of a rectangular prism 2lw 2wh 2lh. Surface area of a rectangular prism formula. Start with our equation above. Rectangular prisms are the most commonly used prisms in real life especially in packaging from cereal boxes.

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You now know enough to find the surface area of any rectangular prism. You can do it faster if you ve learned some basic algebra. The area for the top and bottom sides is l w l w 2 l w. Area of a rectangular prism lw lw wh wh lh lh.

The surface area of a rectangular prism is the sum of the lateral surface area and twice the base area of the rectangular prism. Following is how to calculate surface area of a rectangular prism with length 2 width 1 and height 1 5. Surface area of rectangular prism. Volume length x width x height.

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 bottom side and the top side are equal and have l and w as dimensions. Surface area 2 x 2 x 1 2 x 1 5 1 x 1 5 13. So you can find the volume of a cube or surface area of a cube by setting these values equal to each other.

Finding surface area for all rectangular prisms including cubes involves both addition and multiplication. A rectangular prism in which the faces are not perpendicular to each other is called an oblique rectangular prism.