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How do you find the total surface area of a prism?
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What is a rectangular prism calculator?
- Overview
- Finding the Surface Area
- Making the Formula Shorter
A rectangular prism is a name for a 6-sided 3-dimensional figure that is very familiar to everybody—a box.
Think of a brick, or a shoebox, and you know exactly what a rectangular prism is. The
Label the length, width, and height of your rectangular prism.
Each rectangular prism has a length, a width, and a height.
a picture of the prism, and write the symbols
next to three different edges of the shape.
If you're not sure which sides to label, pick any corner. Label the three lines that meet at that corner.
For example: A box has a base that measures 3 inches by 4 inches, and it stands 5 inches tall. The long side of the base is 4 inches, so
You now know enough to find the surface area of any rectangular prism. You can do it faster if you've
some basic algebra. Start with our equation above: Area of a rectangular prism = lw + lw + wh + wh + lh + lh. If we combine all the terms that are the same, we get:
Area of a rectangular prism =
2lw + 2wh + 2lh
If you know how to
, you can make it even shorter:
Jul 16, 2024 · Simplify geometry with our surface area of a rectangular prism calculator, applying the surface area of a rectangular prism formula for accurate results.
How to calculate the surface area of a prism. In order to work out the surface area of a prism: Calculate the area of each face. Add the area of each face together. Include the units.
Aug 3, 2023 · The general formula to find the total surface area of a prism is: Total Surface Area (TSA) = 2 × Base Area + Base Perimeter × Height, here, the height of a prism is the distance between the two bases. The total surface area of a prism is the combined area of the 2 bases and the areas of the lateral faces.
Jan 18, 2024 · How do I find the area of a rectangular prism? The surface area of the cuboid consists of 6 faces - three pairs of parallel rectangles. To find the rectangular prism surface area, add the areas of all faces: surface_area = 2 × (h × w) + 2 × (h × l) + 2 × (l × w) = 2 × (h × w + h × l + l × w),
Jul 21, 2020 · Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with rectangular prism surface area. Mr. J will go through surface area...
- 5 min
- 1.8M
- Math with Mr. J
